Paper Citation Record · LEDGER

Critical phenomena in gravitational collapse with two competing massless matter fields

As of 20 August 2026, this Paper Citation Record lists 36 of 36 outbound references and 4 inbound Pith citation observations for arXiv:1908.05971.

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

pith.paper-citation-record.v1
1908.05971 v2

Coverage vector

measured 36 of 36 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T13:05:38.142654Z

measured 40 of 40 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-20T06:33:59.587034+00:00

measured 4 of 4 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-14T13:05:37.980202Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: pith, observed 2026-08-14T05:39:36.990671Z

Reference resolution

36 of 36 outbound references displayed

verified exact0
verified fuzzy20
unresolved16
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 6bef058e-d30c-41d2-9782-d9d468eb0a32 · outbound

This paper cites an unresolved cited work.

Critical phenomena in gravitational collapse with two competing massless matter fields Unresolved cited work

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-14T13:05:38.002232Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation fb3a4607-5389-4057-bb27-d6b917f766cf · outbound

This paper cites an unresolved cited work.

Critical phenomena in gravitational collapse with two competing massless matter fields Unresolved cited work

Reference 2

Resolution: unresolved; raw_fallback, observed 2026-08-14T13:05:38.649908Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 70d4314e-d774-458d-a4de-3e7b6e7d2f21 · outbound

This paper cites an unresolved cited work.

Critical phenomena in gravitational collapse with two competing massless matter fields Unresolved cited work

Reference 3

Resolution: unresolved; raw_fallback, observed 2026-08-14T13:05:38.726670Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation cca584f8-611d-44a9-ac28-ab10d3d35fbc · outbound

This paper cites (29) The truncations indicated denote generically non- vanishing terms that depend on the next order ex- pansion coeﬃcients.

Critical phenomena in gravitational collapse with two competing massless matter fields (29) The truncations indicated denote generically non- vanishing terms that depend on the next order ex- pansion coeﬃcients

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:05:38.693503Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 44e4fc6b-b93d-435e-8a51-978a989267cd · outbound

This paper cites shared” by the two matter ﬁelds. There is complementary evidence for this from the scal- ing laws (varying p) on the one hand and from single “best.

Critical phenomena in gravitational collapse with two competing massless matter fields shared” by the two matter ﬁelds. There is complementary evidence for this from the scal- ing laws (varying p) on the one hand and from single “best

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:05:38.678140Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 8078fdf5-fc32-4bc9-80d7-cb8a11435002 · outbound

This paper cites Critical phenomena in gravitational collapse with two competing massless matter fields.

Critical phenomena in gravitational collapse with two competing massless matter fields Critical phenomena in gravitational collapse with two competing massless matter fields

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-14T13:05:37.980202Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9731b433-4617-4bc9-bf22-27f8e78a8f88 · outbound

This paper cites an unresolved cited work.

Critical phenomena in gravitational collapse with two competing massless matter fields Unresolved cited work

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-14T13:05:38.030809Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1b5973f3-d5fe-4360-bf41-99205f92473f · outbound

This paper cites Gundlach and J.

Critical phenomena in gravitational collapse with two competing massless matter fields Gundlach and J

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:05:38.634958Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 7108818a-3c6b-433a-95bd-1c3f60803b42 · outbound

This paper cites an unresolved cited work.

Critical phenomena in gravitational collapse with two competing massless matter fields Unresolved cited work

Reference 9

Resolution: unresolved; raw_fallback, observed 2026-08-14T13:05:38.620528Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation e538dd95-198f-41d2-a696-04a460477bd3 · outbound

This paper cites an unresolved cited work.

Critical phenomena in gravitational collapse with two competing massless matter fields Unresolved cited work

Reference 10

Resolution: unresolved; raw_fallback, observed 2026-08-14T13:05:38.605948Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation e6960072-cb52-4643-8b95-9ec609e3a31c · outbound

This paper cites an unresolved cited work.

Critical phenomena in gravitational collapse with two competing massless matter fields Unresolved cited work

Reference 11

Resolution: unresolved; raw_fallback, observed 2026-08-14T13:05:38.590488Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 166bd090-36db-4121-ae0f-00a17ff52c6a · outbound

This paper cites Hilditch, A.

Critical phenomena in gravitational collapse with two competing massless matter fields Hilditch, A

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:05:38.516868Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 0a7496fc-a3e4-428c-9e77-b0f1d00b7440 · outbound

This paper cites Healy and P.

Critical phenomena in gravitational collapse with two competing massless matter fields Healy and P

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:05:38.564475Z

Source-reported events for the cited work

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Observation 821982ad-e2f9-4911-a5d9-dae5ca427bc0 · outbound

This paper cites Deppe, L.

Critical phenomena in gravitational collapse with two competing massless matter fields Deppe, L

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:05:38.548700Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 0477fe41-fe23-49de-baf9-a3830170f16a · outbound

This paper cites Critical Phenomena in Non-spherically Symmetric Scalar Bubble Collapse.

Critical phenomena in gravitational collapse with two competing massless matter fields Critical Phenomena in Non-spherically Symmetric Scalar Bubble Collapse

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-14T13:05:38.044497Z

Source-reported events for the cited work

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Observation 28d8d442-bd8e-4000-9132-f276e67c16b0 · outbound

This paper cites an unresolved cited work.

Critical phenomena in gravitational collapse with two competing massless matter fields Unresolved cited work

Reference 16

Resolution: unresolved; raw_fallback, observed 2026-08-14T13:05:38.533585Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation fe50c4be-e7e1-4f17-9f3f-9b58337ee3a7 · outbound

This paper cites Hilditch, T.

Critical phenomena in gravitational collapse with two competing massless matter fields Hilditch, T

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:05:38.453562Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation c054064e-a453-42c9-a23c-67c2c96d130d · outbound

This paper cites Alcubierre, G.

Critical phenomena in gravitational collapse with two competing massless matter fields Alcubierre, G

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:05:38.501233Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 95feb9b4-c393-4887-a2aa-3da322343e47 · outbound

This paper cites Garﬁnkle and G.C.

Critical phenomena in gravitational collapse with two competing massless matter fields Garﬁnkle and G.C

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:05:38.485754Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 3842283c-2df9-4bc2-97b6-7fd5b94f2f5e · outbound

This paper cites Axisymmetric Numerical Relativity.

Critical phenomena in gravitational collapse with two competing massless matter fields Axisymmetric Numerical Relativity

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-14T13:05:38.068191Z

Source-reported events for the cited work

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Observation a6a16e01-047b-4acc-b7e9-a1016fbc3a3e · outbound

This paper cites Sorkin, Class.

Critical phenomena in gravitational collapse with two competing massless matter fields Sorkin, Class

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:05:38.469549Z

Source-reported events for the cited work

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Observation 9a863943-5590-40eb-bf50-cccd94ac0165 · outbound

This paper cites Maliborski and O.

Critical phenomena in gravitational collapse with two competing massless matter fields Maliborski and O

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:05:38.381606Z

Source-reported events for the cited work

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Observation 26096374-066a-4065-a5d6-62f5c69bff84 · outbound

This paper cites Gundlach, Phys.

Critical phenomena in gravitational collapse with two competing massless matter fields Gundlach, Phys

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-14T13:05:38.082036Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 910e769a-e9fa-45e4-a355-e5a530503ed0 · outbound

This paper cites an unresolved cited work.

Critical phenomena in gravitational collapse with two competing massless matter fields Unresolved cited work

Reference 24

Resolution: unresolved; raw_fallback, observed 2026-08-14T13:05:38.427563Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation f6585a6f-f109-44a6-b595-f935d6f676b9 · outbound

This paper cites Gundlach, Phys.

Critical phenomena in gravitational collapse with two competing massless matter fields Gundlach, Phys

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:05:38.413110Z

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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation b64198da-c99c-4eed-bc67-842faa822d4b · outbound

This paper cites We represent our ﬁelds on a grid at ﬁxed values of v, and numerically advance in the retarded time u.

Critical phenomena in gravitational collapse with two competing massless matter fields We represent our ﬁelds on a grid at ﬁxed values of v, and numerically advance in the retarded time u

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:05:38.709595Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 9a7b730e-d12d-45f9-9bf1-1199a010896e · outbound

This paper cites Kain, Phys.

Critical phenomena in gravitational collapse with two competing massless matter fields Kain, Phys

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:05:38.397697Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation cddeeb59-d893-44fc-9f73-b891c1192b1e · outbound

This paper cites Bartnik and J.

Critical phenomena in gravitational collapse with two competing massless matter fields Bartnik and J

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:05:38.365909Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 9d3604aa-7c40-4cac-8287-2d1f563f332b · outbound

This paper cites an unresolved cited work.

Critical phenomena in gravitational collapse with two competing massless matter fields Unresolved cited work

Reference 29

Resolution: unresolved; raw_fallback, observed 2026-08-14T13:05:38.349986Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 3a1f2ab6-ecf0-4ee7-8fe2-d85a141d4f87 · outbound

This paper cites Gundlach, R.

Critical phenomena in gravitational collapse with two competing massless matter fields Gundlach, R

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:05:38.333648Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 46f15828-f632-4a9c-9eef-afd7017f0bae · outbound

This paper cites Garﬁnkle, Phys.

Critical phenomena in gravitational collapse with two competing massless matter fields Garﬁnkle, Phys

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:05:38.315471Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation b38b19ef-99dd-48fd-9203-0079441afdb0 · outbound

This paper cites G´ omez, P.

Critical phenomena in gravitational collapse with two competing massless matter fields G´ omez, P

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:05:38.299573Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 5ed66d18-87d9-4f84-a732-47d83ac125df · outbound

This paper cites Hod and T.

Critical phenomena in gravitational collapse with two competing massless matter fields Hod and T

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:05:38.283955Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 5384bf18-11fa-4ee8-a548-231baad39d1c · outbound

This paper cites Multi-oscillating Boson Stars.

Critical phenomena in gravitational collapse with two competing massless matter fields Multi-oscillating Boson Stars

Reference 34

Resolution: unresolved; no resolver link, observed 2026-08-14T13:05:38.133847Z

Source-reported events for the cited work

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Observation e35c62d5-d102-46eb-8b94-c05f2c2c9d91 · outbound

This paper cites Gundlach, Phys.

Critical phenomena in gravitational collapse with two competing massless matter fields Gundlach, Phys

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:05:38.266619Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 054fa9bf-e5b4-47e5-883f-3f483ae5b44a · outbound

This paper cites an unresolved cited work.

Critical phenomena in gravitational collapse with two competing massless matter fields Unresolved cited work

Reference 36

Resolution: unresolved; raw_fallback, observed 2026-08-14T13:05:38.248483Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Pith citing papers

Observation 8078fdf5-fc32-4bc9-80d7-cb8a11435002 · inbound