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Paper Citation Record · LEDGER

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

As of 19 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 2026-08-18T06:34:40.430872+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
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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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-14T12:57:07.674349Z digest=sha256:00e540cfa4dd0d35d41a0de7e188e882c575eba9204c990fa3d7d93de206bbfd

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
verified fuzzy
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 2026-08-18T06:34:40.430872+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
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-14T12:57:07.688939Z digest=sha256:00ed2fab455d0c89ec59261e52c1c9887745fa630cd8fccb4042ff388be6d4c2

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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-14T12:57:07.697351Z digest=sha256:09fb801122421813e0ba7c860b00bb4b85a27e6676fb0541f92d9c1c9feb16ca

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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-14T12:57:07.707665Z digest=sha256:7fd381c408befc92b5b198b89b4e9b15b64f4b4250c2828e91f02f674a14e641

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 2026-08-18T06:34:40.430872+00:00.

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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
raw_fallback, observed 2026-08-14T12:57:08.139639Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-14T12:57:07.718908Z digest=sha256:ff966e604cf0f9068e9ac929982e3fcf7dfa61ecde32ad5224dc2936a5c17300

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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-14T12:57:07.723002Z digest=sha256:640a6f63ddb9821b4a21365fd2f0c088d84960bb4486983cdd377c21354e7199

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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-14T12:57:07.727096Z digest=sha256:54b09aa4391f4b3b2983c742592f8b940d5645b2e43c2dcf25ac02378cf33e5f

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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-14T12:57:07.730734Z digest=sha256:21a36b942f4000a3308373557077f7cc1954bea9f50697ef58728cc96966017e

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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-14T12:57:07.734802Z digest=sha256:097fb480ecaaacb80fc3c873e078ce6e52d97594add0f6b04cbb5997129c552a

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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-14T12:57:07.739233Z digest=sha256:34554fa0ee7de216b1a0cfbfb69961324a9b285439c00469720e3e72fadcbaf8

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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-14T12:57:07.743170Z digest=sha256:62afe40e9fd67764dc7180bb5e74f3082628a8f49b96b3cd283f75ff886211b3

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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-14T12:57:07.747094Z digest=sha256:175577ddcfcd629ca65fc76f34d1531dcbca602e4c77b0762e1f15d8b6193c50

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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-14T12:57:07.751160Z digest=sha256:7479968519da207966788a07331e564854838ce4cb2d310c60b03068b89bdbfa

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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-14T12:57:07.755082Z digest=sha256:cbc61a7b31ef549bc44416cab7832d390d6965123b022dbe9b88bd3485d64901

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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-14T12:57:07.759154Z digest=sha256:aa845bebd5aa096ec989da6eb5cd9a51d4eba8afc3a6dec71baa93fef9cb941b

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
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-14T12:57:07.763680Z digest=sha256:204fd99b994eea1c546c2905918d39681effe56e5211ef73dae055899b23f893

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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-14T12:57:07.768152Z digest=sha256:891e3ab4f341a291d80748b0d9829b77d09dec63414afe4f815dd34933d67d16

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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-14T12:57:07.772401Z digest=sha256:b1cf61d71f09b6d27da1975b701b0b5fd3e02419bd6e139b609a4ffba6c7328d

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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-14T12:57:07.777719Z digest=sha256:f09e238fde048a93920123fdb8a54af14eb1a4738ab7edce6e000c8f78ce3203

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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-14T12:57:07.782774Z digest=sha256:978b7c05d13b71c4c2d19d3ead809e891b4f27b5cdf8056e90000677bdd87a14

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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-14T12:57:07.786823Z digest=sha256:73d1b54e7943e8ffab5691e78e23815bc10a30be4d9f2f667e80c3f1bab65659

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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-14T12:57:07.790674Z digest=sha256:b0a84a0433343bcfb7ab4709ab3c28ecaddafb4eb903be825c0019c85006ff28

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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-14T12:57:07.794579Z digest=sha256:591bcbe3b554b4b046d3dadbe65f7c5d49aa9585bef8451c6a133f277989e988

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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-14T12:57:07.798800Z digest=sha256:ef9f24f729d0c5a92ec16463ed648dccc798ac72cc11a211b7478d8d4ec279f1

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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-14T12:57:07.804081Z digest=sha256:f5de140b283ebe7c05e984117b8537356d2f45339e0c0d9ecc00914c71d07b96

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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-14T12:57:07.808296Z digest=sha256:fb65cdd3f20f16f53db234440dd31b412c2321b71c46a63af8403e32c57e3157

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 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-14T12:57:07.812442Z digest=sha256:36b663e1d262d78b9f0690f9c1b965aefd57c4bf810a0f36e002e44200c64654

Pith citing papers

No inbound Pith citation observations are available.