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Paper Citation Record · LEDGER

An Extended Soliton's Zero Modes

As of 16 August 2026, this Paper Citation Record lists 48 of 48 outbound references and 1 inbound Pith citation observation for arXiv:2507.18922.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2507.18922 v1

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measured 48 of 48 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-08-15T18:25:10.921596Z

measured 49 of 49 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-15T06:32:42.880941+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-05-16T23:50:08.566996Z

measured 0 of 1 external citation measurements

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Source: arxiv_reference, observed 2026-05-16T23:51:21.966323Z

Reference resolution

48 of 48 outbound references displayed

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  • verified fuzzy0
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Outbound references

Observation 1cafff47-e0e3-4211-aad9-0a7a95223903 · outbound

This paper cites Nonperturbative Methods and Extended Hadron Models in Field Theory 2. Two-Dimensional Models and Extended Hadrons,.

An Extended Soliton's Zero Modes Nonperturbative Methods and Extended Hadron Models in Field Theory 2. Two-Dimensional Models and Extended Hadrons,

Reference 1

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source=pdf_text observed=2026-08-15T18:25:10.685906Z digest=sha256:aa62f54f0e35b21fa768d6c8857a43a6372e363f2002170689d594e7908d2a1e

Observation 03be1b27-bcc1-430b-882b-23f32d5de4d2 · outbound

This paper cites Quantization of Nonlinear Waves,.

An Extended Soliton's Zero Modes Quantization of Nonlinear Waves,

Reference 2

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source=pdf_text observed=2026-08-15T18:25:10.691855Z digest=sha256:4ca3543c5acf2f953d67de68122153ab58e5ec492dde378c168c959679344996

Observation 089e8d82-e9be-4341-9f3b-aa3012c3a36c · outbound

This paper cites Mass Formulas for Static Solitons,.

An Extended Soliton's Zero Modes Mass Formulas for Static Solitons,

Reference 3

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Observation c68fe628-f094-4a5c-9649-ceb1139b2716 · outbound

This paper cites Quantum Theory of Solitons: Preliminary Version,.

An Extended Soliton's Zero Modes Quantum Theory of Solitons: Preliminary Version,

Reference 4

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Observation f4092d29-3026-45fd-a030-67535d8b1969 · outbound

This paper cites A Classical-Quantum Correspondence and Backreaction.

An Extended Soliton's Zero Modes A Classical-Quantum Correspondence and Backreaction

Reference 5

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Observation 1ecf3065-cb9d-44b4-af3b-99905fdefb74 · outbound

This paper cites Classical-Quantum Correspondence for Fields.

An Extended Soliton's Zero Modes Classical-Quantum Correspondence for Fields

Reference 6

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source=pdf_text observed=2026-08-15T18:25:10.713091Z digest=sha256:0e9ae62cf3bf8d08ae84e0f920ea55673407f8d0c492c332818900763cf56e4f

Observation 74fba1bb-488c-43e7-8e15-8622555f6511 · outbound

This paper cites Quantum Corrections to Soliton Energies.

An Extended Soliton's Zero Modes Quantum Corrections to Soliton Energies

Reference 7

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source=pdf_text observed=2026-08-15T18:25:10.719060Z digest=sha256:942cae94a6c78052caf04853b3f82bbb241118414b84d29998417005e35ce107

Observation 147433ea-88dd-41c9-b139-117f3af52c6c · outbound

This paper cites Soliton Quantization,.

An Extended Soliton's Zero Modes Soliton Quantization,

Reference 8

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Observation 75b5e10c-ab54-48cf-9fe6-f3f12ffef8dd · outbound

This paper cites About the Zero Mode Problem in the Quantization of Solitons,.

An Extended Soliton's Zero Modes About the Zero Mode Problem in the Quantization of Solitons,

Reference 9

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Observation 168b4de4-c362-42e2-aebc-c3eadbdf49ad · outbound

This paper cites Cancellation of the Zero Mode Singularities in Soliton Quantization Theory,.

An Extended Soliton's Zero Modes Cancellation of the Zero Mode Singularities in Soliton Quantization Theory,

Reference 10

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source=pdf_text observed=2026-08-15T18:25:10.735601Z digest=sha256:b3e9f49799b74e41dcf482eba1e510530d6f792f531841198d3c844bf7a06d60

Observation 519bbeb1-ddff-4a78-8b30-583414d798ad · outbound

This paper cites A Nonlinear theory of strong interactions,.

An Extended Soliton's Zero Modes A Nonlinear theory of strong interactions,

Reference 11

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Observation 585aa4b1-b188-4f7e-b718-990ae5a914d0 · outbound

This paper cites Extended Particles in Quantum Field Theories,.

An Extended Soliton's Zero Modes Extended Particles in Quantum Field Theories,

Reference 12

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Observation 0bb3af3f-2c15-4d8b-b129-0dbe9ef86df3 · outbound

This paper cites Quantum Expansion of Soliton Solutions,.

An Extended Soliton's Zero Modes Quantum Expansion of Soliton Solutions,

Reference 13

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Observation 29e583d9-3fa6-4164-984b-461123e4580c · outbound

This paper cites Canonical Quantization of Nonlinear Waves,.

An Extended Soliton's Zero Modes Canonical Quantization of Nonlinear Waves,

Reference 14

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source=pdf_text observed=2026-08-15T18:25:10.755401Z digest=sha256:7c0c086c8790444e94610e2e9ac7e9a0f86c316b3017ae5c8fb913444ce740e3

Observation f1bd27a0-df23-4070-ae69-e77a82ec564e · outbound

This paper cites Gravitational form factors of a kink in $1+1$ dimensional $\phi^4$ model.

An Extended Soliton's Zero Modes Gravitational form factors of a kink in $1+1$ dimensional $\phi^4$ model

Reference 15

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source=pdf_text observed=2026-08-15T18:25:10.760140Z digest=sha256:4a2232c7a52a40690b06e4920d8be908166bfafdc8a146f2c784d1c631e8ee55

Observation d3d29391-3d28-4fe1-94d0-6d9587616af2 · outbound

This paper cites Framework for the Forced Soliton Equation: Regularization, Numerical Solutions, and Perturbation Theory.

An Extended Soliton's Zero Modes Framework for the Forced Soliton Equation: Regularization, Numerical Solutions, and Perturbation Theory

Reference 16

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Observation 09da7448-d8d9-4c73-9153-35b112fc8054 · outbound

This paper cites Point Canonical Transformations in Path Integral,.

An Extended Soliton's Zero Modes Point Canonical Transformations in Path Integral,

Reference 17

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Observation d6957ef4-b40b-4d15-886e-eb0d30c5a1f4 · outbound

This paper cites The Collective Coordinate Fix.

An Extended Soliton's Zero Modes The Collective Coordinate Fix

Reference 18

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Observation 2bf94b9e-0183-4697-9ce3-f03caa1d9843 · outbound

This paper cites False vacuum decay of excited states in finite-time instanton calculus.

An Extended Soliton's Zero Modes False vacuum decay of excited states in finite-time instanton calculus

Reference 19

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source=pdf_text observed=2026-08-15T18:25:10.780810Z digest=sha256:cd89b6093af559d72f0e7a6429aafc666e680938a93ddcc3081260cf2c02b8fc

Observation dfcaa662-e5e2-4bb3-a054-c776c4e10048 · outbound

This paper cites Manifestly Finite Derivation of the Quantum Kink Mass.

An Extended Soliton's Zero Modes Manifestly Finite Derivation of the Quantum Kink Mass

Reference 20

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source=pdf_text observed=2026-08-15T18:25:10.785741Z digest=sha256:89ffd5e228ca6b0d1c356972901e3c306055f3b7365992586cd9f04c018804e1

Observation da3c18ea-75d2-4e70-9ef2-d31df603b93a · outbound

This paper cites Two-Loop Scalar Kinks.

An Extended Soliton's Zero Modes Two-Loop Scalar Kinks

Reference 21

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source=pdf_text observed=2026-08-15T18:25:10.790585Z digest=sha256:033b97d0ae8a0de29b9dbee930052c2efd062f7237ab4b1a23678d0450b9845c

Observation ef9b8556-a455-40a5-bdc4-aa7e708e6612 · outbound

This paper cites A Reduced Inner Product for Kink States.

An Extended Soliton's Zero Modes A Reduced Inner Product for Kink States

Reference 22

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Observation e773ec29-3a72-4b2e-b58b-1ef69943a83a · outbound

This paper cites Elastic Kink-Meson Scattering.

An Extended Soliton's Zero Modes Elastic Kink-Meson Scattering

Reference 23

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Observation fbfeac5c-9f8a-48c1-8f0d-2317e61816ea · outbound

This paper cites There are no Goldstone bosons in two-dimensions,.

An Extended Soliton's Zero Modes There are no Goldstone bosons in two-dimensions,

Reference 24

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source=pdf_text observed=2026-08-15T18:25:10.804890Z digest=sha256:913d6cb2d53ab26138d3cf2bd2323e74a23a9efdb532b1cdefe21a9e05c606cb

Observation d7b3a6a4-6f45-4ce3-8795-4c7ccbe34e3e · outbound

This paper cites (Anti-)Stokes Scattering on the Domain Wall String.

An Extended Soliton's Zero Modes (Anti-)Stokes Scattering on the Domain Wall String

Reference 25

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Observation 9ceb247f-bb6f-452f-9f01-8f78ee4976e8 · outbound

This paper cites Abelian Higgs Cosmic Strings: Small Scale Structure and Loops.

An Extended Soliton's Zero Modes Abelian Higgs Cosmic Strings: Small Scale Structure and Loops

Reference 26

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Observation 92000121-c0c1-4eef-986b-ef2a635447d3 · outbound

This paper cites Excited Abelian-Higgs vortices: decay rate and radiation emission.

An Extended Soliton's Zero Modes Excited Abelian-Higgs vortices: decay rate and radiation emission

Reference 27

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Observation 1dacd93c-6f5a-4857-84f4-b0c887c0eb70 · outbound

This paper cites Exciting the Domain Wall Soliton.

An Extended Soliton's Zero Modes Exciting the Domain Wall Soliton

Reference 28

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Observation 1e18bd08-b2df-4f4c-99b3-c32d6be9a3ef · outbound

This paper cites A Unified Field Theory of Mesons and Baryons,.

An Extended Soliton's Zero Modes A Unified Field Theory of Mesons and Baryons,

Reference 29

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source=pdf_text observed=2026-08-15T18:25:10.830744Z digest=sha256:2ff4acbca9cdaa46f40e88f6030926215bc3ec8471edeafbf4c24ecf7b62e3a7

Observation e3bc8204-86d8-438d-ad21-f33709982eed · outbound

This paper cites Current Algebra, Baryons, and Quark Confinement,.

An Extended Soliton's Zero Modes Current Algebra, Baryons, and Quark Confinement,

Reference 30

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source=pdf_text observed=2026-08-15T18:25:10.835308Z digest=sha256:c93f5af2ec5e9f9bc7ed2b81ca04c41e834adbdd6b3b173cecd27ca5f9e0160b

Observation e8c6b67d-5188-4afd-833f-eea49139aa51 · outbound

This paper cites Nonlinear rigid-body quantization of Skyrmions.

An Extended Soliton's Zero Modes Nonlinear rigid-body quantization of Skyrmions

Reference 31

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source=pdf_text observed=2026-08-15T18:25:10.839949Z digest=sha256:e5a4f844f85955cf74bee248a82e0f41fcc5d8e4091ddc627f3713efeab97947

Observation 4605992a-d811-4247-b4b9-6e7d62880129 · outbound

This paper cites Compressibility of dense nuclear matter in the $\rho$-meson variant of the Skyrme model.

An Extended Soliton's Zero Modes Compressibility of dense nuclear matter in the $\rho$-meson variant of the Skyrme model

Reference 32

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source=pdf_text observed=2026-08-15T18:25:10.844629Z digest=sha256:836790172d9444ec4d29964257aafa6746790eb33e3864d2ca0c91b7d94d7ed6

Observation e43ef759-30ea-4ef0-93f5-6bec57e94196 · outbound

This paper cites Factorization of Hard Processes in QCD.

An Extended Soliton's Zero Modes Factorization of Hard Processes in QCD

Reference 33

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source=pdf_text observed=2026-08-15T18:25:10.849626Z digest=sha256:0e7b39f762fa6ec437ef658544910ef784765bcc7dea2f41533f48da953c8f2e

Observation 633951f9-691f-4dd2-a1bf-fd35f9dcd448 · outbound

This paper cites Spontaneous Symmetry Breaking of phi4(1+1) in Light Front Field Theory.

An Extended Soliton's Zero Modes Spontaneous Symmetry Breaking of phi4(1+1) in Light Front Field Theory

Reference 34

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source=pdf_text observed=2026-08-15T18:25:10.854444Z digest=sha256:f83a532734132d898024925f7b19872d45bff1a61a6245fedbd8e9c69d6f20b2

Observation ea1dfae6-1360-437f-a33e-ae0a31e4abff · outbound

This paper cites The Vacuum Structure of Light-Front $\phi^4_{1+1}$-Theory.

An Extended Soliton's Zero Modes The Vacuum Structure of Light-Front $\phi^4_{1+1}$-Theory

Reference 35

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source=pdf_text observed=2026-08-15T18:25:10.859182Z digest=sha256:3eb4fee71af90432c36beed3acecc28e2e8c1b93df883efdee0b3f086567bb96

Observation ec3ae28b-a7f1-4f21-9598-4fa26c64e971 · outbound

This paper cites Phase Transition in Light-Front $\phi^4_{1+1}$.

An Extended Soliton's Zero Modes Phase Transition in Light-Front $\phi^4_{1+1}$

Reference 36

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source=pdf_text observed=2026-08-15T18:25:10.863708Z digest=sha256:fea9c467ee9776711959946a051b92c6a32da74c1bc3edf60bf41115798df5d3

Observation abd8d635-bb04-4902-8130-2e268baac0b5 · outbound

This paper cites Zero modes in the light-front coupled-cluster method.

An Extended Soliton's Zero Modes Zero modes in the light-front coupled-cluster method

Reference 37

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source=pdf_text observed=2026-08-15T18:25:10.869048Z digest=sha256:5c68cc6627f7096c04e2ab84b23d1a8fc65618e0e88516e8be12f3ee77682fe9

Observation 7827eadd-8ec3-4b70-85e0-81bb1249ce4d · outbound

This paper cites Nonperturbative light-front Hamiltonian methods.

An Extended Soliton's Zero Modes Nonperturbative light-front Hamiltonian methods

Reference 38

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source=pdf_text observed=2026-08-15T18:25:10.873910Z digest=sha256:ce4c72ff6d1ddf5876a8c819b713fa5d2c9eeaadcd68b05008087f31f189ffeb

Observation 9ff98a7e-cd15-48d4-ab90-afc18a930117 · outbound

This paper cites QUANTUM KINKS ON THE NULL PLANE,.

An Extended Soliton's Zero Modes QUANTUM KINKS ON THE NULL PLANE,

Reference 39

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-15T18:25:10.879120Z digest=sha256:9f4798c35ccfab0a868e3f0a9f3dd4b37a8d3338c84a9fc7de937c190a78ac52

Observation 51c5f864-9fed-4b94-84d1-c136a9c356ae · outbound

This paper cites Spontaneous Symmetry Breaking at Infinite Momentum without P+ Zero-Modes.

An Extended Soliton's Zero Modes Spontaneous Symmetry Breaking at Infinite Momentum without P+ Zero-Modes

Reference 40

Resolution
verified exact
local_arxiv, observed 2026-08-15T18:25:11.229018Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-15T18:25:10.883955Z digest=sha256:dcc3f350e90ec804465f73cc59f0c3616d8fb972f0ac9b53e5e60036ef72793c

Observation 279cd59e-8cb6-4b45-868a-82f222c68ff2 · outbound

This paper cites Universality in effective strings,.

An Extended Soliton's Zero Modes Universality in effective strings,

Reference 41

Resolution
unresolved
no resolver link, observed 2026-08-15T18:25:10.888749Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T18:25:10.888749Z digest=sha256:a4f4901aa12b34d32b0e2639d8be93497552cf3e17ce593593ede4d594c781fd

Observation dc755963-f9e9-4d45-940f-b1242d12cec2 · outbound

This paper cites The dynamics of Domain Wall Strings.

An Extended Soliton's Zero Modes The dynamics of Domain Wall Strings

Reference 42

Resolution
unresolved
no resolver link, observed 2026-08-15T18:25:10.893525Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T18:25:10.893525Z digest=sha256:8f03b596b2331211cd64206fc2588782a6eb58b7f940fac85a97186d0dcac88c

Observation 0a000c7f-7132-407b-be62-591276c11320 · outbound

This paper cites Effective Actions for Domain Wall Dynamics.

An Extended Soliton's Zero Modes Effective Actions for Domain Wall Dynamics

Reference 43

Resolution
unresolved
no resolver link, observed 2026-08-15T18:25:10.898390Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T18:25:10.898390Z digest=sha256:ad458d2dbcfacc401a6918b65cb76513e6f0e20c0c80ce8777b235af62a3cee1

Observation 7aa49c30-4b24-4a55-86df-08ed3e2a5198 · outbound

This paper cites A (2+1)-Dimensional Domain Wall at One-Loop.

An Extended Soliton's Zero Modes A (2+1)-Dimensional Domain Wall at One-Loop

Reference 44

Resolution
unresolved
no resolver link, observed 2026-08-15T18:25:10.903061Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T18:25:10.903061Z digest=sha256:bb426fe9a93b811883fd069758a3965e2e05aa050544e45488e931c24ca2c0a0

Observation 322ddd89-075e-4ab7-a997-f9c477b0990f · outbound

This paper cites Normal Modes of the Small-Amplitude Oscillon.

An Extended Soliton's Zero Modes Normal Modes of the Small-Amplitude Oscillon

Reference 45

Resolution
unresolved
no resolver link, observed 2026-08-15T18:25:10.907640Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T18:25:10.907640Z digest=sha256:bebff20b4ca1f796f17c118e5ff378e47a79b546e9134d9619005690e33fcf2e

Observation 490fe5e6-3bf0-44d6-b95e-0f97e7a62caf · outbound

This paper cites I-balls.

An Extended Soliton's Zero Modes I-balls

Reference 46

Resolution
unresolved
no resolver link, observed 2026-08-15T18:25:10.912121Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T18:25:10.912121Z digest=sha256:44e07a24a17372219c5191d7846b46c4c9a957f0156b36f91b48f17da23f0d48

Observation f29d274f-4f31-426d-89fa-9bcd25498382 · outbound

This paper cites Oscillons from $Q$-balls through renormalization.

An Extended Soliton's Zero Modes Oscillons from $Q$-balls through renormalization

Reference 47

Resolution
unresolved
no resolver link, observed 2026-08-15T18:25:10.917054Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T18:25:10.917054Z digest=sha256:17bcbe52c89db532e50c5050c03da2ac3d3c2fe3c9865746e2d96875cefc516a

Observation 0c10c80f-ad62-44b5-9646-06af6ec686e8 · outbound

This paper cites Q-ball polarization -- a smooth path to oscillons.

An Extended Soliton's Zero Modes Q-ball polarization -- a smooth path to oscillons

Reference 48

Resolution
unresolved
no resolver link, observed 2026-08-15T18:25:10.921596Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T18:25:10.921596Z digest=sha256:4b17ef4de6e92dd4db85bccdbaf4d90e2cf8d20e2e05ae1de6fda2dfa87b124d

Pith citing papers

Observation 02540453-8888-4956-9289-560d5b323891 · inbound

Spontaneous symmetry breaking on graphs and lattices cites this paper.

Spontaneous symmetry breaking on graphs and lattices An Extended Soliton's Zero Modes

Reference 40

Resolution
verified exact
arxiv_id, observed 2026-05-16T23:51:21.969160Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-05-16T23:50:08.566996Z digest=sha256:90579af6004f196a3c4f0552dc2d124ac1aba38af8dfc9d53615148251a53e35