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Paper Citation Record · LEDGER

Fate of scalar dark matter solitons around supermassive galactic black holes

As of 14 August 2026, this Paper Citation Record lists 100 of 130 outbound references and 1 inbound Pith citation observation for arXiv:1909.02614.

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pith.paper-citation-record.v1
1909.02614 v1

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measured 100 of 130 reference resolution

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Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-05-18T02:59:50.980716Z

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Source: arxiv_reference, observed 2026-05-18T03:00:47.603689Z

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100 of 130 outbound references displayed

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Outbound references

Observation 5e90ab5e-61a2-4b7b-96e1-8c1fbad20b94 · outbound

This paper cites Therefore, we match the solution (.

Fate of scalar dark matter solitons around supermassive galactic black holes Therefore, we match the solution (

Reference 1

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Observation a902ee66-ed2d-4fd1-a639-7058ce4a4873 · outbound

This paper cites pressure.

Fate of scalar dark matter solitons around supermassive galactic black holes pressure

Reference 2

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Observation e9b4fefb-43f2-47c0-aeec-736c7031eae0 · outbound

This paper cites low velocity) branch at large radii with the supersonic (i.e.

Fate of scalar dark matter solitons around supermassive galactic black holes low velocity) branch at large radii with the supersonic (i.e

Reference 3

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Observation 02f21839-8aef-4246-8229-107340b3d16b · outbound

This paper cites Thus, in this article we focus on scalar field masses in the range 10 −19 ≪m ≲ 1 eV.

Fate of scalar dark matter solitons around supermassive galactic black holes Thus, in this article we focus on scalar field masses in the range 10 −19 ≪m ≲ 1 eV

Reference 4

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Observation dd6e342c-7bd7-46a0-8079-ce4649200e55 · outbound

This paper cites Ultralight scalars as cosmological dark matter.

Fate of scalar dark matter solitons around supermassive galactic black holes Ultralight scalars as cosmological dark matter

Reference 5

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Observation 0bdb3565-4e7a-42da-a7f8-accc83e4ee80 · outbound

This paper cites The effects of the small-scale DM power on the cosmological neutral hydrogen (\HI) distribution at high redshifts.

Fate of scalar dark matter solitons around supermassive galactic black holes The effects of the small-scale DM power on the cosmological neutral hydrogen (\HI) distribution at high redshifts

Reference 6

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Observation ba69b7a1-29e2-40d5-8dcc-5d21305451af · outbound

This paper cites quantum pressure.

Fate of scalar dark matter solitons around supermassive galactic black holes quantum pressure

Reference 7

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Observation c13e3ad3-05a7-4beb-b9b3-9f3cb410569d · outbound

This paper cites Search for axion-like dark matter through nuclear spin precession in electric and magnetic fields.

Fate of scalar dark matter solitons around supermassive galactic black holes Search for axion-like dark matter through nuclear spin precession in electric and magnetic fields

Reference 8

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Observation 17c71972-3aa8-4adc-8abf-76cfe2e49677 · outbound

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Fate of scalar dark matter solitons around supermassive galactic black holes Unresolved cited work

Reference 9

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Observation c2d1893f-ac24-48ef-be1a-36f53a8dc6b8 · outbound

This paper cites First star formation in ultra-light particle dark matter cosmology.

Fate of scalar dark matter solitons around supermassive galactic black holes First star formation in ultra-light particle dark matter cosmology

Reference 10

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Observation 18b57628-bd61-43a7-8dc5-887db8c3873a · outbound

This paper cites Projected bounds on ALPs from Athena.

Fate of scalar dark matter solitons around supermassive galactic black holes Projected bounds on ALPs from Athena

Reference 11

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Observation 18f2b67a-63e2-42c0-9270-a64e7aba196a · outbound

This paper cites Stochastic and resolvable gravitational waves from ultralight bosons.

Fate of scalar dark matter solitons around supermassive galactic black holes Stochastic and resolvable gravitational waves from ultralight bosons

Reference 12

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Observation 781dc3a8-b50e-4fe2-a94c-b91111235919 · outbound

This paper cites Gravitational wave searches for ultralight bosons with LIGO and LISA.

Fate of scalar dark matter solitons around supermassive galactic black holes Gravitational wave searches for ultralight bosons with LIGO and LISA

Reference 13

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Observation daf5ccbf-64a8-4a68-8df8-87e943d6f516 · outbound

This paper cites The effects of the small-scale behaviour of dark matter power spectrum on CMB spectral distortion.

Fate of scalar dark matter solitons around supermassive galactic black holes The effects of the small-scale behaviour of dark matter power spectrum on CMB spectral distortion

Reference 14

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Observation d6400654-149b-4a76-8965-246144154eaf · outbound

This paper cites velocity.

Fate of scalar dark matter solitons around supermassive galactic black holes velocity

Reference 15

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Observation e7d579f8-2cb6-483d-90b5-9be83c3d03fd · outbound

This paper cites Cold and Fuzzy Dark Matter.

Fate of scalar dark matter solitons around supermassive galactic black holes Cold and Fuzzy Dark Matter

Reference 16

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Observation e8217e6d-7711-4103-bcf1-75fc436ccab5 · outbound

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Fate of scalar dark matter solitons around supermassive galactic black holes Unresolved cited work

Reference 17

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Observation ca52bc35-fa2a-4e32-b2ff-b4cfcc8a99c7 · outbound

This paper cites (44) Thus, the scalar field is well defined at the Schwarzschild radius, provided we use regular coordinates, and as ex- pected we recover a fully ingoing solution.

Fate of scalar dark matter solitons around supermassive galactic black holes (44) Thus, the scalar field is well defined at the Schwarzschild radius, provided we use regular coordinates, and as ex- pected we recover a fully ingoing solution

Reference 18

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This paper cites We show in Fig.

Fate of scalar dark matter solitons around supermassive galactic black holes We show in Fig

Reference 19

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Observation 231f7a51-d53f-4e69-8442-394b95c6a875 · outbound

This paper cites Isotropy theorem for cosmological Yang-Mills theories.

Fate of scalar dark matter solitons around supermassive galactic black holes Isotropy theorem for cosmological Yang-Mills theories

Reference 20

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Observation 4bd4b909-9344-4b5c-96ac-5ba833c001ba · outbound

This paper cites velocity.

Fate of scalar dark matter solitons around supermassive galactic black holes velocity

Reference 21

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Observation e195c8ba-89e4-4d56-b3a3-83dd3653e8e1 · outbound

This paper cites Dark photon searches with atomic transitions.

Fate of scalar dark matter solitons around supermassive galactic black holes Dark photon searches with atomic transitions

Reference 22

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This paper cites 3, verifies F =Fc, k c(x) = k1(x) for x<x ⋆, kc(x) = k2(x) for x>x ⋆.

Fate of scalar dark matter solitons around supermassive galactic black holes 3, verifies F =Fc, k c(x) = k1(x) for x<x ⋆, kc(x) = k2(x) for x>x ⋆

Reference 23

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Observation b2da9062-38ed-4c6b-a76b-13b46bb9ef0a · outbound

This paper cites (32) In the weak gravity regime, r ≫rs, we recover the usual Newtonian limit of the fluid equations, r ≫rs : ˙ ρ +⃗∇ · (ρ⃗ v) = 0, (33) ˙⃗ v+ (⃗ v·⃗∇)⃗ v= −⃗∇Φ.

Fate of scalar dark matter solitons around supermassive galactic black holes (32) In the weak gravity regime, r ≫rs, we recover the usual Newtonian limit of the fluid equations, r ≫rs : ˙ ρ +⃗∇ · (ρ⃗ v) = 0, (33) ˙⃗ v+ (⃗ v·⃗∇)⃗ v= −⃗∇Φ

Reference 24

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Observation 141d60d4-c988-45be-adcd-447ffde2a833 · outbound

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Fate of scalar dark matter solitons around supermassive galactic black holes Thus, from Eq.( 100) we obtain close to the Schwarzschild ra- dius r →rs/4 : πβ ′ 2m ∼ − 16(1 +α)mrs π(4r −rs) , (103) β ∼ − 4(1 +α)mrs π ln ( 4r −rs 4rs )

Reference 25

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Observation deee9c20-e2d3-4715-86cd-bea2348e6fc0 · outbound

This paper cites Cosmological perturbations in coherent oscillating scalar field models.

Fate of scalar dark matter solitons around supermassive galactic black holes Cosmological perturbations in coherent oscillating scalar field models

Reference 26

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Fate of scalar dark matter solitons around supermassive galactic black holes (30) Taking the gradient of the second equation and substi- tuting the velocity field defined in Eq.(

Reference 27

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This paper cites (39) Using rs = 2GM , this reads as m ≫ 6.7 × 10−19 ( M 108M⊙ ) −1 eV.

Fate of scalar dark matter solitons around supermassive galactic black holes (39) Using rs = 2GM , this reads as m ≫ 6.7 × 10−19 ( M 108M⊙ ) −1 eV

Reference 28

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This paper cites pressure.

Fate of scalar dark matter solitons around supermassive galactic black holes pressure

Reference 29

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Observation 4d8352a8-05b4-4f62-97ce-463599d3532e · outbound

This paper cites New Light on Dark Matter.

Fate of scalar dark matter solitons around supermassive galactic black holes New Light on Dark Matter

Reference 30

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This paper cites The Euler equation (.

Fate of scalar dark matter solitons around supermassive galactic black holes The Euler equation (

Reference 31

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Observation d9217af4-1521-48f5-9d27-b2c9e9fce54b · outbound

This paper cites quantum pressure.

Fate of scalar dark matter solitons around supermassive galactic black holes quantum pressure

Reference 32

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Fate of scalar dark matter solitons around supermassive galactic black holes Unresolved cited work

Reference 33

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Observation 4786feec-262f-4b2d-bfa4-9243a5e26706 · outbound

This paper cites Wilczek, Phys.

Fate of scalar dark matter solitons around supermassive galactic black holes Wilczek, Phys

Reference 34

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Observation 8ece8de0-e5e7-472e-af46-7d2992a02ffa · outbound

This paper cites Weinberg, Phys.

Fate of scalar dark matter solitons around supermassive galactic black holes Weinberg, Phys

Reference 35

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This paper cites Axion Cosmology.

Fate of scalar dark matter solitons around supermassive galactic black holes Axion Cosmology

Reference 36

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This paper cites Constraints on anharmonic corrections of Fuzzy Dark Matter.

Fate of scalar dark matter solitons around supermassive galactic black holes Constraints on anharmonic corrections of Fuzzy Dark Matter

Reference 37

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source=pdf_text observed=2026-08-14T04:57:51.222631Z digest=sha256:7ccc8c7a70a397b43671b655515ad9c32dee46c97ad2fb752c9325ca51c59f6e

Observation 8116af0e-15a0-4aa7-9113-d67dab29650e · outbound

This paper cites Quintessential Haloes around Galaxies.

Fate of scalar dark matter solitons around supermassive galactic black holes Quintessential Haloes around Galaxies

Reference 38

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source=pdf_text observed=2026-08-14T04:57:51.227335Z digest=sha256:00470f2d61ff0304835aa76a7814c55b8f66ed2cf862bc5d4c7c11d97a031e8b

Observation defffb90-42e2-4b22-b53f-916664a0c6c7 · outbound

This paper cites Again, this means that one cannot use a perturbative approach in the scalar field, even in the large scalar mass limit.

Fate of scalar dark matter solitons around supermassive galactic black holes Again, this means that one cannot use a perturbative approach in the scalar field, even in the large scalar mass limit

Reference 39

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source=pdf_text observed=2026-08-14T04:57:50.949770Z digest=sha256:2f9d25cff08cf86d4ca36627c3ef1ccc6768e31494eff2ddffdec959d1a6bd7c

Observation 88887982-b377-49d2-93e1-8fba6dbe8860 · outbound

This paper cites Lyman-alpha Constraints on Ultralight Scalar Dark Matter: Implications for the Early and Late Universe.

Fate of scalar dark matter solitons around supermassive galactic black holes Lyman-alpha Constraints on Ultralight Scalar Dark Matter: Implications for the Early and Late Universe

Reference 40

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source=pdf_text observed=2026-08-14T04:57:51.082530Z digest=sha256:da5f5ed1d7f3f9c5b8f93832ad233334f2b54dca75a7ddb1a05b427d6b600efe

Observation e06a7b40-3168-4c65-b643-34f685dfa916 · outbound

This paper cites New astrophysical bounds on ultralight axionlike particles.

Fate of scalar dark matter solitons around supermassive galactic black holes New astrophysical bounds on ultralight axionlike particles

Reference 41

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verified exact
local_arxiv, observed 2026-08-14T04:57:53.233242Z

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source=pdf_text observed=2026-08-14T04:57:51.092111Z digest=sha256:f8f6e6b159fd64467456da3b938a0f6a035cbada137e048445ac49adf583266a

Observation aa8c8196-fa81-4fb3-9063-bab2b6a97b55 · outbound

This paper cites Understanding the Core-Halo Relation of Quantum Wave Dark Matter, $\psi$DM, from 3D Simulations.

Fate of scalar dark matter solitons around supermassive galactic black holes Understanding the Core-Halo Relation of Quantum Wave Dark Matter, $\psi$DM, from 3D Simulations

Reference 42

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source=pdf_text observed=2026-08-14T04:57:51.247193Z digest=sha256:bcdbac32979ea914e87dba62ac97ad0445595dde4e6e1e9430132f7f60804947

Observation b3731fbc-a83d-47c5-836c-2007b9f167eb · outbound

This paper cites Axion dark matter, solitons, and the cusp-core problem.

Fate of scalar dark matter solitons around supermassive galactic black holes Axion dark matter, solitons, and the cusp-core problem

Reference 43

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source=pdf_text observed=2026-08-14T04:57:51.252090Z digest=sha256:8a75403958aea2a2598a96f0848f1052774ae653ab3e60b2b0940ad4c135f404

Observation e45c5bbc-efe0-49ba-9584-f961bc2dc642 · outbound

This paper cites Ultra-Light Dark Matter in Ultra-Faint Dwarf Galaxies.

Fate of scalar dark matter solitons around supermassive galactic black holes Ultra-Light Dark Matter in Ultra-Faint Dwarf Galaxies

Reference 44

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source=pdf_text observed=2026-08-14T04:57:51.256993Z digest=sha256:abefbe794ae48819ada0a8855dbb7fbcb1e290a1f92505f177d6b3510c937d2f

Observation 0925bfc0-7281-4b82-803b-192bc865acc2 · outbound

This paper cites Jeans Analysis for Dwarf Spheroidal Galaxies in Wave Dark Matter.

Fate of scalar dark matter solitons around supermassive galactic black holes Jeans Analysis for Dwarf Spheroidal Galaxies in Wave Dark Matter

Reference 45

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source=pdf_text observed=2026-08-14T04:57:51.261653Z digest=sha256:54d94fa784fb5a06ada10ba016e290c1c0869579a3a5d05ad1a84020102caee1

Observation 7dcca265-6fcb-4959-a36d-7d57336b9536 · outbound

This paper cites stabilizes the scalar-field soliton obtained at large radii, as recalled in section IV B 1, and slows down the infall onto the central BH at smaller radii.

Fate of scalar dark matter solitons around supermassive galactic black holes stabilizes the scalar-field soliton obtained at large radii, as recalled in section IV B 1, and slows down the infall onto the central BH at smaller radii

Reference 46

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source=pdf_text observed=2026-08-14T04:57:51.033389Z digest=sha256:4dc41fdefe7a6854b5b5fc4cf980cb2399d8f7a2f270ec7010efb34f673b9505

Observation ada9f97f-e91d-450e-b510-5f5d997fa0e6 · outbound

This paper cites Using CMB spectral distortions to distinguish between dark matter solutions to the small-scale crisis.

Fate of scalar dark matter solitons around supermassive galactic black holes Using CMB spectral distortions to distinguish between dark matter solutions to the small-scale crisis

Reference 47

Resolution
verified exact
local_arxiv, observed 2026-08-14T04:57:53.105453Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-14T04:57:51.119998Z digest=sha256:5b1f22a5c35c3a70793bd98bf738dd610ea4fc85441f85a7bcc02e843f7c1e78

Observation 0f3e05a5-f6ec-404d-aeb3-e427430115aa · outbound

This paper cites Unbiased constraints on ultralight axion mass from dwarf spheroidal galaxies.

Fate of scalar dark matter solitons around supermassive galactic black holes Unbiased constraints on ultralight axion mass from dwarf spheroidal galaxies

Reference 48

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source=pdf_text observed=2026-08-14T04:57:51.276019Z digest=sha256:550113431373af264938587ec8ad4b06c693b39f2953add8d2220a3625e04683

Observation 45fd12e5-6382-44f7-ab4d-709363b6556f · outbound

This paper cites Thus, at this order, we can see that the radial derivatives do not change the structure of Eq.( 56).

Fate of scalar dark matter solitons around supermassive galactic black holes Thus, at this order, we can see that the radial derivatives do not change the structure of Eq.( 56)

Reference 49

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source=pdf_text observed=2026-08-14T04:57:50.954503Z digest=sha256:3217ddcbe20c55b08e901f490db4accf906ea4f71d8f339331b7cd05ce8522d2

Observation bc93d7e3-70be-4b1d-96e4-c1a2d1279df7 · outbound

This paper cites Dynamical and Gravitational Instability of Oscillating-Field Dark Energy and Dark Matter.

Fate of scalar dark matter solitons around supermassive galactic black holes Dynamical and Gravitational Instability of Oscillating-Field Dark Energy and Dark Matter

Reference 50

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source=pdf_text observed=2026-08-14T04:57:51.133571Z digest=sha256:b0b9a99b646f4a07d9b8d2e95423687f5a81dd6374258a32f5ebfa4e8d5f25cf

Observation 167f6c8e-22a9-4f23-87aa-b9ae9693be6a · outbound

This paper cites an unresolved cited work.

Fate of scalar dark matter solitons around supermassive galactic black holes Unresolved cited work

Reference 51

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source=pdf_text observed=2026-08-14T04:57:50.963842Z digest=sha256:f6b3a308ae19adb1a74ddc230bdfa6f4ad00041ef88da99bd3f5bb68aca6318a

Observation 25df7a2e-fc1f-4aed-8b62-3d87fbd94ae5 · outbound

This paper cites Isotropy theorem for cosmological vector fields.

Fate of scalar dark matter solitons around supermassive galactic black holes Isotropy theorem for cosmological vector fields

Reference 52

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source=pdf_text observed=2026-08-14T04:57:51.137947Z digest=sha256:95bc7dac0862ac81f28c91fbc55b579a0a237c9062cdf3426b0dbf4ff2bd2394

Observation 6d09e746-016f-4af2-98aa-e9b72ee4091b · outbound

This paper cites velocity.

Fate of scalar dark matter solitons around supermassive galactic black holes velocity

Reference 53

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source=pdf_text observed=2026-08-14T04:57:50.978245Z digest=sha256:a654f97cd95db45f7da975339f986798f78e561c55216efbc11b7b3c8e2069de

Observation 85cec5d3-d802-4e38-ada1-109b6ed87f59 · outbound

This paper cites Isotropy theorem for arbitrary-spin cosmological fields.

Fate of scalar dark matter solitons around supermassive galactic black holes Isotropy theorem for arbitrary-spin cosmological fields

Reference 54

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source=pdf_text observed=2026-08-14T04:57:51.147108Z digest=sha256:c96708f71a10697543320225874e2346d84b0024abcaf24d48c455b25d8e01fa

Observation 0e67e0e9-846d-461e-b745-a363cc9d0a4c · outbound

This paper cites Axion as a Cold Dark Matter candidate.

Fate of scalar dark matter solitons around supermassive galactic black holes Axion as a Cold Dark Matter candidate

Reference 55

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source=pdf_text observed=2026-08-14T04:57:51.156334Z digest=sha256:00d483fd76910c5809bec72b3fc4b56292b137d1c7ac8444f88db04b4344a697

Observation dd727af6-0aef-4996-a8f3-d5c87dea873d · outbound

This paper cites Axion as a cold dark matter candidate: low-mass case.

Fate of scalar dark matter solitons around supermassive galactic black holes Axion as a cold dark matter candidate: low-mass case

Reference 56

Resolution
verified exact
local_arxiv, observed 2026-08-14T04:57:52.943770Z

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source=pdf_text observed=2026-08-14T04:57:51.160935Z digest=sha256:16178a9b200b340236e347557d2a2c2301a431b557b12aab47a67adeefe60356

Observation 3e82c4c1-a4c8-4cfc-aabc-99c7ff1f2df6 · outbound

This paper cites A search for ultra-light axions using precision cosmological data.

Fate of scalar dark matter solitons around supermassive galactic black holes A search for ultra-light axions using precision cosmological data

Reference 57

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source=pdf_text observed=2026-08-14T04:57:51.165535Z digest=sha256:e69ab37954849c0bbb98eaacecfc645c221cc17ec657138cec9141a0ecd99f76

Observation 616bd2a2-231f-486c-b801-fb65134d599f · outbound

This paper cites A predictive model of BEC dark matter halos with a solitonic core and an isothermal atmosphere.

Fate of scalar dark matter solitons around supermassive galactic black holes A predictive model of BEC dark matter halos with a solitonic core and an isothermal atmosphere

Reference 58

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source=pdf_text observed=2026-08-14T04:57:51.322042Z digest=sha256:fb5f2c53a4f4cbc220f1647caa93faf311e2b77e0c84ac15bb9ac5b74ffab11a

Observation e9360f51-7f50-44db-8b3d-dc64e2a6bc7e · outbound

This paper cites Perturbations of ultralight vector field dark matter.

Fate of scalar dark matter solitons around supermassive galactic black holes Perturbations of ultralight vector field dark matter

Reference 59

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source=pdf_text observed=2026-08-14T04:57:51.174764Z digest=sha256:ac165b56f531f715eae32ede6daa73e2a39f84d0a6eecd1a433dda4cab5e009c

Observation 45406eeb-234c-437f-9f84-0bb811710a00 · outbound

This paper cites Cosmic Structure as the Quantum Interference of a Coherent Dark Wave.

Fate of scalar dark matter solitons around supermassive galactic black holes Cosmic Structure as the Quantum Interference of a Coherent Dark Wave

Reference 60

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source=pdf_text observed=2026-08-14T04:57:51.179432Z digest=sha256:68597de8cc931242b8fd293eda64da7be6b18f9a61cfa446f13ee8f490aee1eb

Observation 779276c2-7485-4d5a-8c6e-1f168e094734 · outbound

This paper cites In terms of the scalar fields ψ and φ this gives ψ = √ ρ me−iαmt, hence s = −αmt, (67) and φ = √2ρ m cos[(1 +α)mt].

Fate of scalar dark matter solitons around supermassive galactic black holes In terms of the scalar fields ψ and φ this gives ψ = √ ρ me−iαmt, hence s = −αmt, (67) and φ = √2ρ m cos[(1 +α)mt]

Reference 61

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source=pdf_text observed=2026-08-14T04:57:50.973773Z digest=sha256:24a1a26f40dbf8e963c77f4a8b0ad1e0c2abd0ca3d5503865ad76320c2a67058

Observation aaf3464f-07ab-4a62-b4a4-e6f65a4109f1 · outbound

This paper cites Multiple Ultralight Axionic Wave Dark Matter and Astronomical Structures.

Fate of scalar dark matter solitons around supermassive galactic black holes Multiple Ultralight Axionic Wave Dark Matter and Astronomical Structures

Reference 62

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source=pdf_text observed=2026-08-14T04:57:51.184298Z digest=sha256:fe121d07ba2338e4ae527acf7e8b9f82e22a90e3e08ca71ddbb7d7dc11978a9a

Observation 28d00ea9-1253-4ba0-9d62-ddbe10d3db2d · outbound

This paper cites an unresolved cited work.

Fate of scalar dark matter solitons around supermassive galactic black holes Unresolved cited work

Reference 63

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raw_fallback, observed 2026-08-14T04:57:52.819685Z

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source=pdf_text observed=2026-08-14T04:57:51.194106Z digest=sha256:3be74dc897c098b0255bd8b2cbe3f40739e24b5d321f44123cc64c8c7f943d8a

Observation 6ea32e7f-cdfe-46b3-b146-a50f17a018c1 · outbound

This paper cites Cold dark matter: controversies on small scales.

Fate of scalar dark matter solitons around supermassive galactic black holes Cold dark matter: controversies on small scales

Reference 64

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source=pdf_text observed=2026-08-14T04:57:51.198812Z digest=sha256:8d2e79cfc8d00573664b3f00afedbc2b3ebde95d2687b43067b985ae10c76b21

Observation 80d05bad-d606-47c3-9b20-dfb579270de7 · outbound

This paper cites Thus we also have r =rsg : Φ φ =α − Φ I ∼ −ρs ρa.

Fate of scalar dark matter solitons around supermassive galactic black holes Thus we also have r =rsg : Φ φ =α − Φ I ∼ −ρs ρa

Reference 65

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source=pdf_text observed=2026-08-14T04:57:51.042831Z digest=sha256:cf6466a6121cd01ff45eab4aa4ac5e2988dd261761a82fdfc681d5ba3842f1de

Observation 4c876828-d260-41d4-9fad-aad39927255b · outbound

This paper cites Cold dark matter heats up.

Fate of scalar dark matter solitons around supermassive galactic black holes Cold dark matter heats up

Reference 66

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source=pdf_text observed=2026-08-14T04:57:51.203950Z digest=sha256:3a2f9dc6169dcffd922fe2b99c16312392c8867309c5a20b67ac6bc63872d3ae

Observation a2c7184b-1679-49d5-a408-bcf2b7b6f468 · outbound

This paper cites Too big to fail? The puzzling darkness of massive Milky Way subhaloes.

Fate of scalar dark matter solitons around supermassive galactic black holes Too big to fail? The puzzling darkness of massive Milky Way subhaloes

Reference 67

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source=pdf_text observed=2026-08-14T04:57:51.208664Z digest=sha256:e8aa32d1ad2f41507e0efc06e9bf4b1ec1db4a293bc8857d80659cd80ec84ca8

Observation 73c2081a-41bf-4d54-b3ca-c594d6c3041f · outbound

This paper cites Dark Matter Substructure in Galactic Halos.

Fate of scalar dark matter solitons around supermassive galactic black holes Dark Matter Substructure in Galactic Halos

Reference 68

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source=pdf_text observed=2026-08-14T04:57:51.213354Z digest=sha256:70552c50aaf0bbfa72e4eab4371b6d9a137de61e309242de041068765f152af8

Observation 4e289df2-25b2-4e6c-8dd7-857c5f841743 · outbound

This paper cites The Core-Cusp Problem.

Fate of scalar dark matter solitons around supermassive galactic black holes The Core-Cusp Problem

Reference 69

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source=pdf_text observed=2026-08-14T04:57:51.217977Z digest=sha256:591204a9b60c35f4df9edde7a1ad110df8c9716e735ca7874563a9701b660e26

Observation 32561774-ef58-4afb-a2c2-b8d4b780fc1c · outbound

This paper cites Ultra Light Boson Dark Matter and Event Horizon Telescope Observations of M87*.

Fate of scalar dark matter solitons around supermassive galactic black holes Ultra Light Boson Dark Matter and Event Horizon Telescope Observations of M87*

Reference 70

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source=pdf_text observed=2026-08-14T04:57:51.379324Z digest=sha256:2b9f0bdf633d1400c05cea925783e0024ca42cd603df8d34532027071b9db585

Observation 3fe06fc1-7fc7-44ea-9903-93a6ab8223e0 · outbound

This paper cites Lesgourgues, A.

Fate of scalar dark matter solitons around supermassive galactic black holes Lesgourgues, A

Reference 71

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source=pdf_text observed=2026-08-14T04:57:51.232727Z digest=sha256:8d3d4252ba2add164a5a95d4841410840aec5e0ea6077d051a2420537e848cb9

Observation 4ded5077-ecfd-47cb-aee1-0ed2d9e8f5d8 · outbound

This paper cites Mass-radius relation of Newtonian self-gravitating Bose-Einstein condensates with short-range interactions: I. Analytical results.

Fate of scalar dark matter solitons around supermassive galactic black holes Mass-radius relation of Newtonian self-gravitating Bose-Einstein condensates with short-range interactions: I. Analytical results

Reference 72

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source=pdf_text observed=2026-08-14T04:57:51.237143Z digest=sha256:d0f44997dfb85b5a8c7be9947e0d19ca33035e6e4193c9a21e636b23bc71818c

Observation fef24bc3-60d9-4977-a1ac-c1985d2779cd · outbound

This paper cites Mass-radius relation of Newtonian self-gravitating Bose-Einstein condensates with short-range interactions: II. Numerical results.

Fate of scalar dark matter solitons around supermassive galactic black holes Mass-radius relation of Newtonian self-gravitating Bose-Einstein condensates with short-range interactions: II. Numerical results

Reference 73

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source=pdf_text observed=2026-08-14T04:57:51.242037Z digest=sha256:8a6b225d27db3e5defa9d6deb4181e6cc5a5a128400faaeba7da4f89fa828bb5

Observation 02295422-79ad-4a8b-aeae-24970810a829 · outbound

This paper cites Goodman, New Astron.

Fate of scalar dark matter solitons around supermassive galactic black holes Goodman, New Astron

Reference 74

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source=pdf_text observed=2026-08-14T04:57:51.399021Z digest=sha256:064140e015f36ae0f8f1f3a41048ed0037a95c400e72d701f6feb8e544ee301e

Observation 196f283e-6f58-498e-b346-a597802c28c5 · outbound

This paper cites Cosmological Constraints on Bose-Einstein-Condensed Scalar Field Dark Matter.

Fate of scalar dark matter solitons around supermassive galactic black holes Cosmological Constraints on Bose-Einstein-Condensed Scalar Field Dark Matter

Reference 75

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source=pdf_text observed=2026-08-14T04:57:51.403753Z digest=sha256:c6ccf1ea2c8f4a06a35eea3834bc10c7a1de50481a28cd097f563ca97d4d6e2a

Observation 75d3fc7f-4b23-4bac-9574-6403fcc11a73 · outbound

This paper cites Cosmological evolution of a complex scalar field with repulsive or attractive self-interaction.

Fate of scalar dark matter solitons around supermassive galactic black holes Cosmological evolution of a complex scalar field with repulsive or attractive self-interaction

Reference 76

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source=pdf_text observed=2026-08-14T04:57:51.408631Z digest=sha256:5e40ad140e1b16d3e349a643bc2c08f2e671d9b8846ae7858be722bc74258fa2

Observation 75766a55-8b02-41bb-82b4-f2506cc31f4f · outbound

This paper cites Hydrodynamic representation of the Klein-Gordon-Einstein equations in the weak field limit: I. General formalism and perturbations analysis.

Fate of scalar dark matter solitons around supermassive galactic black holes Hydrodynamic representation of the Klein-Gordon-Einstein equations in the weak field limit: I. General formalism and perturbations analysis

Reference 77

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verified exact
local_arxiv, observed 2026-08-14T04:57:52.001679Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-14T04:57:51.413406Z digest=sha256:015d14196d2fca479dde0b0014bf9cb9cbee52a948683533be8546515eea917c

Observation 87a5f7ad-331e-47ec-a205-e639f72ce3a5 · outbound

This paper cites Simulations of solitonic core mergers in ultra-light axion dark matter cosmologies.

Fate of scalar dark matter solitons around supermassive galactic black holes Simulations of solitonic core mergers in ultra-light axion dark matter cosmologies

Reference 78

Resolution
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no resolver link, observed 2026-08-14T04:57:51.266465Z

Source-reported events for the cited work

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source=pdf_text observed=2026-08-14T04:57:51.266465Z digest=sha256:74a2f31d07dca3dacaa2a9dab96e38a8699330f87ea4714f5ed596c1636d630b

Observation 545a4df4-8183-4216-8282-41cd966305ce · outbound

This paper cites Cosmological particle-in-cell simulations with ultralight axion dark matter.

Fate of scalar dark matter solitons around supermassive galactic black holes Cosmological particle-in-cell simulations with ultralight axion dark matter

Reference 79

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unresolved
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source=pdf_text observed=2026-08-14T04:57:51.271265Z digest=sha256:9b78571f464a2829c51127d2770cac7ac4e80a777692092caf01553b7f6ee967

Observation e9af8bb9-372b-4eeb-a8b2-59afa62f6ed1 · outbound

This paper cites The impact of ultra-light axion self-interactions on the large scale structure of the Universe.

Fate of scalar dark matter solitons around supermassive galactic black holes The impact of ultra-light axion self-interactions on the large scale structure of the Universe

Reference 80

Resolution
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no resolver link, observed 2026-08-14T04:57:51.536201Z

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source=pdf_text observed=2026-08-14T04:57:51.536201Z digest=sha256:479da337b664787aae8e3237648ef0e9ccf618bdb292cc5679c9f6ef1fb57fee

Observation 2a582a0e-6eff-4714-98cf-f85eb722925a · outbound

This paper cites Flat Central Density Profile and Constant DM Surface Density in Galaxies from Scalar Field Dark Matter.

Fate of scalar dark matter solitons around supermassive galactic black holes Flat Central Density Profile and Constant DM Surface Density in Galaxies from Scalar Field Dark Matter

Reference 81

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no resolver link, observed 2026-08-14T04:57:51.280606Z

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source=pdf_text observed=2026-08-14T04:57:51.280606Z digest=sha256:17330fda58f95ffd589c3f9c272aa95c31edf4193838564ec77a6439f18fa0e7

Observation c42d2563-a974-40de-9967-6b66dcd3f1b9 · outbound

This paper cites Rotation curves of high-resolution LSB and SPARC galaxies with fuzzy and multistate (ultra-light boson) scalar field dark matter.

Fate of scalar dark matter solitons around supermassive galactic black holes Rotation curves of high-resolution LSB and SPARC galaxies with fuzzy and multistate (ultra-light boson) scalar field dark matter

Reference 82

Resolution
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no resolver link, observed 2026-08-14T04:57:51.285444Z

Source-reported events for the cited work

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source=pdf_text observed=2026-08-14T04:57:51.285444Z digest=sha256:06d3a86bd0963cc94447984be6d8e9734266b513ac5b26c7c3e137b8d459a2db

Observation cad0f6d4-c088-4648-ac61-b16de2627112 · outbound

This paper cites Galaxy Formation with BECDM: I. Turbulence and relaxation of idealised haloes.

Fate of scalar dark matter solitons around supermassive galactic black holes Galaxy Formation with BECDM: I. Turbulence and relaxation of idealised haloes

Reference 83

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source=pdf_text observed=2026-08-14T04:57:51.289951Z digest=sha256:5bf720296c6e2a50f553986a9fff5bc056bb07e9337b6c727e4e732d492f33e4

Observation e333e805-2117-40a2-baac-ddba6362cbef · outbound

This paper cites an unresolved cited work.

Fate of scalar dark matter solitons around supermassive galactic black holes Unresolved cited work

Reference 84

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unresolved
no resolver link, observed 2026-08-14T04:57:51.001329Z

Source-reported events for the cited work

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source=pdf_text observed=2026-08-14T04:57:51.001329Z digest=sha256:9eb1dab0264ec601e21877ca7134793c2552259b843e71b0a1b81c8578ef6c5e

Observation 35474b5a-aec5-4031-b978-ff88b2f9e6a3 · outbound

This paper cites On Longevity of I-ball/Oscillon.

Fate of scalar dark matter solitons around supermassive galactic black holes On Longevity of I-ball/Oscillon

Reference 85

Resolution
unresolved
no resolver link, observed 2026-08-14T04:57:51.294486Z

Source-reported events for the cited work

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source=pdf_text observed=2026-08-14T04:57:51.294486Z digest=sha256:bac89251ad60e3f14ef1ed61d6fe06438ecc3bd3a4893f27c0e4c08f15f2f58e

Observation 08d7f61b-c4b5-49e1-9689-614273d99949 · outbound

This paper cites Bosonic dark matter halos: excited states and relaxation in the potential of the ground state.

Fate of scalar dark matter solitons around supermassive galactic black holes Bosonic dark matter halos: excited states and relaxation in the potential of the ground state

Reference 86

Resolution
verified exact
local_arxiv, observed 2026-08-14T04:57:52.437895Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-14T04:57:51.298901Z digest=sha256:b2bc09c34c913d45ee6f78ce4c9d4c9584c3a3bbc3671ace91eaf89eb74fddb0

Observation 25d23949-31ef-48a0-8f22-27643c298da5 · outbound

This paper cites Galactic Rotation Curves vs. Ultra-Light Dark Matter: Implications of the Soliton -- Host Halo Relation.

Fate of scalar dark matter solitons around supermassive galactic black holes Galactic Rotation Curves vs. Ultra-Light Dark Matter: Implications of the Soliton -- Host Halo Relation

Reference 87

Resolution
unresolved
no resolver link, observed 2026-08-14T04:57:51.303514Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T04:57:51.303514Z digest=sha256:388bf30c5162a8d611713030180e8b421c812fd537fd6175138d250a1ba6201a

Observation eaa30f69-cc61-463c-bee7-8f0b0dc10b4c · outbound

This paper cites Classical Nonrelativistic Effective Field Theory and the Role of Gravitational Interactions.

Fate of scalar dark matter solitons around supermassive galactic black holes Classical Nonrelativistic Effective Field Theory and the Role of Gravitational Interactions

Reference 88

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verified exact
local_arxiv, observed 2026-08-14T04:57:52.400043Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-14T04:57:51.308381Z digest=sha256:40b50721b1a89c54a1bec6bdf3386d0f1d97d2eef54f5d8a3d7d1d9c3c4202c5

Observation 73c8f3f6-3597-4a41-9661-f5f8a9f4c9d7 · outbound

This paper cites Relaxation in a Fuzzy Dark Matter Halo.

Fate of scalar dark matter solitons around supermassive galactic black holes Relaxation in a Fuzzy Dark Matter Halo

Reference 89

Resolution
unresolved
no resolver link, observed 2026-08-14T04:57:51.312776Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T04:57:51.312776Z digest=sha256:670f5ed63ca0e87880ac1ea9a0f07e6fe2e41ef84009e995851f1a3fcada5404

Observation 9d7e3373-6b44-42f4-969e-7e421cba7977 · outbound

This paper cites Strong Constraints on Fuzzy Dark Matter from Ultrafaint Dwarf Galaxy Eridanus II.

Fate of scalar dark matter solitons around supermassive galactic black holes Strong Constraints on Fuzzy Dark Matter from Ultrafaint Dwarf Galaxy Eridanus II

Reference 90

Resolution
unresolved
no resolver link, observed 2026-08-14T04:57:51.317323Z

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source=pdf_text observed=2026-08-14T04:57:51.317323Z digest=sha256:5b08799128f0bd6733978a540d987def2cf16a6af061c6a7fadf23d6ab5253f3

Observation 9f943796-5cf3-4d71-84b9-fb6c5af9feeb · outbound

This paper cites A Soliton Solution for the Central Dark Masses in 47- Tuc Globular Cluster and Implications for the Axiverse.

Fate of scalar dark matter solitons around supermassive galactic black holes A Soliton Solution for the Central Dark Masses in 47- Tuc Globular Cluster and Implications for the Axiverse

Reference 91

Resolution
verified exact
local_arxiv, observed 2026-08-14T04:57:52.330711Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-14T04:57:51.326561Z digest=sha256:cfaf0ca87784b0edeb3d3478941c74ee0b7d1de1896eccee387a82514c6c958b

Observation 40ff7c29-69a2-4c50-9027-8aff6ec38755 · outbound

This paper cites Gravitational Bose-Einstein condensation in the kinetic regime.

Fate of scalar dark matter solitons around supermassive galactic black holes Gravitational Bose-Einstein condensation in the kinetic regime

Reference 92

Resolution
unresolved
no resolver link, observed 2026-08-14T04:57:51.331270Z

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source=pdf_text observed=2026-08-14T04:57:51.331270Z digest=sha256:f6a00ed6170af24c908cf617cdfac957caad8737ea57c04b8ed985d4388a57aa

Observation d3a774f4-d5e8-4d06-bcb6-e2b3cfdc36ca · outbound

This paper cites Ghostly Galaxies as Solitons of Bose-Einstein Dark Matter.

Fate of scalar dark matter solitons around supermassive galactic black holes Ghostly Galaxies as Solitons of Bose-Einstein Dark Matter

Reference 93

Resolution
verified exact
local_arxiv, observed 2026-08-14T04:57:52.292565Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-14T04:57:51.336165Z digest=sha256:ca039c9d2b26ca85b500bb48ebdb9601d62c07f6c692291c39737e66a5d2563c

Observation f6f497e8-a69f-44d5-9ff7-67d54bc0cf31 · outbound

This paper cites Non-sphericity of ultralight axion dark matter haloes in the Galactic dwarf spheroidal galaxies.

Fate of scalar dark matter solitons around supermassive galactic black holes Non-sphericity of ultralight axion dark matter haloes in the Galactic dwarf spheroidal galaxies

Reference 94

Resolution
verified exact
local_arxiv, observed 2026-08-14T04:57:52.269963Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-14T04:57:51.340952Z digest=sha256:ad825e39d19aee098329484106c0def0dc9c304d6cbf3b897b4108ad8337fc41

Observation db2fc3f4-5f72-4c9d-8ab2-918a2367bac2 · outbound

This paper cites Ultra-light dark matter in disk galaxies.

Fate of scalar dark matter solitons around supermassive galactic black holes Ultra-light dark matter in disk galaxies

Reference 95

Resolution
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no resolver link, observed 2026-08-14T04:57:51.346120Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T04:57:51.346120Z digest=sha256:1ecac3144cc7f949657a27e0c11df71810eb4821a43f0f0b7c049143e96a6518

Observation df38e8c4-8a72-4f53-9e18-b4186f845fa7 · outbound

This paper cites Kormendy and D.

Fate of scalar dark matter solitons around supermassive galactic black holes Kormendy and D

Reference 96

Resolution
unresolved
no resolver link, observed 2026-08-14T04:57:51.350989Z

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source=pdf_text observed=2026-08-14T04:57:51.350989Z digest=sha256:9489ebf5aae4924dfaddebe2abd347455afb38135abf3a29fca8970d3e735564

Observation c5d70f98-f0a2-45b9-939e-5af936ca10c2 · outbound

This paper cites Supermassive Black Holes in Galactic Nuclei: Past, Present and Future Research.

Fate of scalar dark matter solitons around supermassive galactic black holes Supermassive Black Holes in Galactic Nuclei: Past, Present and Future Research

Reference 97

Resolution
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source=pdf_text observed=2026-08-14T04:57:51.355415Z digest=sha256:a2871b960e109d3bd15473d6d62cbdde858e637740fff0bee869b461564949d6

Observation 26c8ef9d-9e83-4592-8764-4138d0829396 · outbound

This paper cites Black Holes in Astrophysics.

Fate of scalar dark matter solitons around supermassive galactic black holes Black Holes in Astrophysics

Reference 98

Resolution
unresolved
no resolver link, observed 2026-08-14T04:57:51.360221Z

Source-reported events for the cited work

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source=pdf_text observed=2026-08-14T04:57:51.360221Z digest=sha256:3fb20d8e185b8067fd9d3bb03735f600d0cdbf903d3e2d83fdf87fd3639149ea

Observation 423d8c8e-8737-4051-a87f-4f96a4d96424 · outbound

This paper cites Orbital fingerprints of ultralight scalar fields around black holes.

Fate of scalar dark matter solitons around supermassive galactic black holes Orbital fingerprints of ultralight scalar fields around black holes

Reference 99

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T04:57:51.365006Z digest=sha256:5748ea2d06c550ade8a8ef4630b94d0965ce848d2f566055548fc021e544ce73

Observation 6c312125-f29c-4de0-b932-e5f611578240 · outbound

This paper cites an unresolved cited work.

Fate of scalar dark matter solitons around supermassive galactic black holes Unresolved cited work

Reference 100

Resolution
unresolved
no resolver link, observed 2026-08-14T04:57:51.010956Z

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source=pdf_text observed=2026-08-14T04:57:51.010956Z digest=sha256:cfd6e75141f3d671a008d990b383e7dd1fec7d26174b3f181e38628f29058ef7

Pith citing papers

Observation de148acd-5ff2-445b-99f3-f654311b4bfd · inbound

Extracting Properties of Dark Dense Environments around Black Holes from Gravitational Waves cites this paper.

Extracting Properties of Dark Dense Environments around Black Holes from Gravitational Waves Fate of scalar dark matter solitons around supermassive galactic black holes

Reference 55

Resolution
verified exact
arxiv_id, observed 2026-05-18T03:00:47.606888Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-05-18T02:59:50.980716Z digest=sha256:b5658032e0ba935f4230928359247f17b97dca6d0a811c7cb46273639cc71007