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Paper Citation Record · LEDGER

Bifurcation for Minimal Surface Equation in Hyperbolic $3$-Manifolds

As of 16 August 2026, this Paper Citation Record lists 30 of 30 outbound references and 0 inbound Pith citation observations for arXiv:1908.06457.

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

pith.paper-citation-record.v1
1908.06457 v2

Coverage vector

measured 30 of 30 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T12:57:07.812442Z

measured 30 of 30 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

30 of 30 outbound references displayed

  • verified exact0
  • verified fuzzy16
  • unresolved14
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 5483c4c3-e0d9-4d0d-a5f9-2ef9fbfed66d · outbound

This paper cites Rabinowitz, Dual variational methods in critical points theory and applications, J.

Bifurcation for Minimal Surface Equation in Hyperbolic $3$-Manifolds Rabinowitz, Dual variational methods in critical points theory and applications, J

Reference 1

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T12:57:07.674349Z digest=sha256:ef2943dca1153d7f93fb1adab81d2bec6c1888c6832054226d43f2763088b7d4

Observation 8ea12451-8007-41bf-ab71-19237ab84c2d · outbound

This paper cites M onge- A mp\`ere equations , Grundlehren der Mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences], vol.

Bifurcation for Minimal Surface Equation in Hyperbolic $3$-Manifolds M onge- A mp\`ere equations , Grundlehren der Mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences], vol

Reference 2

Resolution
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raw_fallback, observed 2026-08-14T12:57:08.210607Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 3229ca4e-cb96-4329-aa79-1507393b9a1b · outbound

This paper cites an unresolved cited work.

Bifurcation for Minimal Surface Equation in Hyperbolic $3$-Manifolds Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:57:08.198287Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 47be62a3-8045-4316-909b-d9fa81eebb9a · outbound

This paper cites an unresolved cited work.

Bifurcation for Minimal Surface Equation in Hyperbolic $3$-Manifolds Unresolved cited work

Reference 4

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:57:08.186721Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T12:57:07.688939Z digest=sha256:9b1a1d42151e460f7de90612a9588c1c1622da1d5ee1c38ee4978213e7454d61

Observation 7e540b62-0787-4d50-9b95-c5a6aa792b96 · outbound

This paper cites an unresolved cited work.

Bifurcation for Minimal Surface Equation in Hyperbolic $3$-Manifolds Unresolved cited work

Reference 5

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:57:08.175172Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T12:57:07.697351Z digest=sha256:f28195ba31296a824e6e661e88d9f95dc12a05e2b8fe7551666b8114113e2bc6

Observation 8ec9965d-58ea-4d73-9170-962d15dfe32d · outbound

This paper cites Bartolucci and G.

Bifurcation for Minimal Surface Equation in Hyperbolic $3$-Manifolds Bartolucci and G

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:57:08.163306Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T12:57:07.707665Z digest=sha256:bcf669f3ae23531f4bbbe9d230042016cd38785958d53902318f697e59f8b7ba

Observation 08aa7410-2b2c-42be-b49c-58932928e5dd · outbound

This paper cites an unresolved cited work.

Bifurcation for Minimal Surface Equation in Hyperbolic $3$-Manifolds Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:57:08.151482Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T12:57:07.713331Z digest=sha256:9e40fc0547c71b8f07f71dc49b0c7875f9a8b735015d6a07b1e7ebb8c24a6c1f

Observation e78f4949-9aba-40eb-bb1d-d00b221177c2 · outbound

This paper cites Pure Appl.

Bifurcation for Minimal Surface Equation in Hyperbolic $3$-Manifolds Pure Appl

Reference 8

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T12:57:07.718908Z digest=sha256:97614550b474ee4d0626100e185a0a8a61c020f65234bce37ca0948fa4a5cf80

Observation 84b4e3da-e832-450a-a222-52f1c5246418 · outbound

This paper cites Pure Appl.

Bifurcation for Minimal Surface Equation in Hyperbolic $3$-Manifolds Pure Appl

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:57:08.127582Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T12:57:07.723002Z digest=sha256:47909c07f160dbd49c76b286a00bb8d0fc90a7f9d9225322cf173a9dbefd748e

Observation 4e3584d7-e111-4427-a2e8-1151a6b05384 · outbound

This paper cites an unresolved cited work.

Bifurcation for Minimal Surface Equation in Hyperbolic $3$-Manifolds Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:57:08.115847Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T12:57:07.727096Z digest=sha256:548ea6ba3fd27b30896116754a3af7bb3b2329c4809f5e3eaf64f0362945c46f

Observation c3425c4a-efdf-48a2-8930-b1ca81323c86 · outbound

This paper cites Pure Appl.

Bifurcation for Minimal Surface Equation in Hyperbolic $3$-Manifolds Pure Appl

Reference 11

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T12:57:07.730734Z digest=sha256:a576f5b07de8acc0cd854d1b5c59dfbcdbefa9854f700d3f2cbc2f81bb053338

Observation 2644d422-0f43-436f-a4a4-9314689a507b · outbound

This paper cites Crandall and Paul H.

Bifurcation for Minimal Surface Equation in Hyperbolic $3$-Manifolds Crandall and Paul H

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:57:08.088671Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T12:57:07.734802Z digest=sha256:d27cd0e6acc549e55e8252ff02af8f225d73c089ec7de2677af6163d90c214e9

Observation ce2fc748-4c17-4d4f-ae31-7b853e23d021 · outbound

This paper cites an unresolved cited work.

Bifurcation for Minimal Surface Equation in Hyperbolic $3$-Manifolds Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:57:08.074293Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T12:57:07.739233Z digest=sha256:091b2ae474c199dfe36ea89b884a91708889c1bae8b0d4e824188fc589c0b7eb

Observation 9168113c-35ff-44cc-a6d8-05ff34638fa1 · outbound

This paper cites an unresolved cited work.

Bifurcation for Minimal Surface Equation in Hyperbolic $3$-Manifolds Unresolved cited work

Reference 14

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:57:08.060545Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T12:57:07.743170Z digest=sha256:99c56087685775bb78b64202d3bb3270be7e61709a0781b1d69201507c058d7e

Observation 4849c8fa-ba2e-4565-b3c6-1cd956b466a6 · outbound

This paper cites Dedicata 158 (2012), 397--411.

Bifurcation for Minimal Surface Equation in Hyperbolic $3$-Manifolds Dedicata 158 (2012), 397--411

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:57:08.046878Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T12:57:07.747094Z digest=sha256:ae35759aecb089b717f8f92bf84fb5828d6cfef7a9dbe7b8618b953d844b829f

Observation 4ada504e-ad99-4730-9b04-42e12c3ac510 · outbound

This paper cites 1000, Springer-Verlag, Berlin, 1989.

Bifurcation for Minimal Surface Equation in Hyperbolic $3$-Manifolds 1000, Springer-Verlag, Berlin, 1989

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:57:08.034698Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T12:57:07.751160Z digest=sha256:bcda0ca4414066603f19eb8bbf43aa6e811ddeb8970a6517fc849353bb39112c

Observation eecc0a1e-18ce-4970-9882-39a27cac2ef7 · outbound

This paper cites an unresolved cited work.

Bifurcation for Minimal Surface Equation in Hyperbolic $3$-Manifolds Unresolved cited work

Reference 17

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:57:08.023320Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T12:57:07.755082Z digest=sha256:93c9774038d2a2d9c4cdbbd784b33ba63bb95450491814c31f4adf64951fd4a2

Observation aa4fdb7e-b74b-4724-a6cc-5ccb10190684 · outbound

This paper cites Dedicata 126 (2007), 187--254.

Bifurcation for Minimal Surface Equation in Hyperbolic $3$-Manifolds Dedicata 126 (2007), 187--254

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:57:08.011167Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T12:57:07.759154Z digest=sha256:c8acc95246ebe5ba5693f3ceb47228bb2cd4ff579eba6523e6354431c48520ff

Observation 9b7b3d78-c4d3-4c55-8c81-5141dc61c42e · outbound

This paper cites Lawson Jr., Complete s in S^3 , Ann.

Bifurcation for Minimal Surface Equation in Hyperbolic $3$-Manifolds Lawson Jr., Complete s in S^3 , Ann

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:57:07.997268Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T12:57:07.763680Z digest=sha256:c7e177c17bb363d6453ddd41836257dc4ac7c794b9bc1e21071ca693a9625055

Observation 751f0cff-3e8a-4204-b113-b40c59c9e663 · outbound

This paper cites an unresolved cited work.

Bifurcation for Minimal Surface Equation in Hyperbolic $3$-Manifolds Unresolved cited work

Reference 20

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:57:07.984795Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T12:57:07.768152Z digest=sha256:5ce1e12459b708482eafe88d8207e3a07e9cd8c400af101727667ba693e039e8

Observation 8cd5c1dc-ebe6-424b-9408-6380d1ca5aa3 · outbound

This paper cites Moser, A sharp form of an inequality by N.

Bifurcation for Minimal Surface Equation in Hyperbolic $3$-Manifolds Moser, A sharp form of an inequality by N

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:57:07.972765Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T12:57:07.772401Z digest=sha256:00fb39fbcadb185bd3283f6a67bc74a6bd0034a7fa36d5a1dfb821b0a6237626

Observation 0ca84f2a-7768-4a82-a6a4-1ee4baabfdcd · outbound

This paper cites an unresolved cited work.

Bifurcation for Minimal Surface Equation in Hyperbolic $3$-Manifolds Unresolved cited work

Reference 22

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:57:07.960457Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T12:57:07.777719Z digest=sha256:059be849e8418f272474ebcffa6f2e37ea7a9f7c3d2d443b2c9660a13d2f0b8c

Observation 9f15bbc8-b208-473b-8afb-ae6c14b65b52 · outbound

This paper cites an unresolved cited work.

Bifurcation for Minimal Surface Equation in Hyperbolic $3$-Manifolds Unresolved cited work

Reference 23

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:57:07.947788Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T12:57:07.782774Z digest=sha256:34a9fd0c20e049a4877b61f3c06bb0f415a0512e9dcc9563b3805deaf60be986

Observation 0bfc67a2-82eb-44df-9564-3a95bd0efebc · outbound

This paper cites an unresolved cited work.

Bifurcation for Minimal Surface Equation in Hyperbolic $3$-Manifolds Unresolved cited work

Reference 24

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:57:07.932896Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T12:57:07.786823Z digest=sha256:072bcff2618f3046377492c78d8e4ae199f5e1852ebe527ef36ba1ab06b715dc

Observation ca55193a-45dd-4005-a74c-af26b138be83 · outbound

This paper cites 34, Springer-Verlag, 2000.

Bifurcation for Minimal Surface Equation in Hyperbolic $3$-Manifolds 34, Springer-Verlag, 2000

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:57:07.918953Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T12:57:07.790674Z digest=sha256:7bf3dff33bfd0b3301b270cf643a95a933008cd9425dc5a2a4ac6f1ad7f6f051

Observation efc58dcd-6946-4a81-8c08-1e8d839f7c5a · outbound

This paper cites an unresolved cited work.

Bifurcation for Minimal Surface Equation in Hyperbolic $3$-Manifolds Unresolved cited work

Reference 26

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:57:07.904914Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T12:57:07.794579Z digest=sha256:d96145a1e081832c547811c8a1674270139571d0c5f72c6fad418a8772dafaab

Observation ebe2d5f4-ccfd-4d08-b102-f429a763d22f · outbound

This paper cites 72, Birkh\" a user Boston, Inc., Boston, MA, 2008.

Bifurcation for Minimal Surface Equation in Hyperbolic $3$-Manifolds 72, Birkh\" a user Boston, Inc., Boston, MA, 2008

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:57:07.891343Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T12:57:07.798800Z digest=sha256:9105b07d004e3adcbfbeaa2b8401f4938447cfca59bf0f4dad20d5aed3a61357

Observation 0f63319d-5ed0-4acc-bc69-aa1faeaf08f3 · outbound

This paper cites an unresolved cited work.

Bifurcation for Minimal Surface Equation in Hyperbolic $3$-Manifolds Unresolved cited work

Reference 28

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:57:07.879016Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T12:57:07.804081Z digest=sha256:76f7e66b5151d603260012c486178d25946ce798a6777d92e8292f5f30b1dbe0

Observation 4ae0baab-26ae-4767-9f60-fe38815ae9f0 · outbound

This paper cites Trudinger, On imbeddings into O rlicz spaces and some applications , J.

Bifurcation for Minimal Surface Equation in Hyperbolic $3$-Manifolds Trudinger, On imbeddings into O rlicz spaces and some applications , J

Reference 29

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:57:07.865502Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T12:57:07.808296Z digest=sha256:19c483074c469d4732a0554935962f1dcbaaed38136b49e40e28afac67c37e9f

Observation c256c436-fbe3-4011-9008-ea219a95c315 · outbound

This paper cites Uhlenbeck, Closed minimal surfaces in hyperbolic 3 -manifolds , Seminar on minimal submanifolds, Ann.

Bifurcation for Minimal Surface Equation in Hyperbolic $3$-Manifolds Uhlenbeck, Closed minimal surfaces in hyperbolic 3 -manifolds , Seminar on minimal submanifolds, Ann

Reference 30

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:57:07.851008Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T12:57:07.812442Z digest=sha256:fea83e0347d3abfbfe77006e21d908ffda16431d041c7016a69a1a64e2e97486

Pith citing papers

No inbound Pith citation observations are available.