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Paper Citation Record · LEDGER

Ground states for the SOS model with an external field on the Cayley tree

As of 16 August 2026, this Paper Citation Record lists 15 of 15 outbound references and 0 inbound Pith citation observations for arXiv:1908.02457.

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

pith.paper-citation-record.v1
1908.02457 v1

Coverage vector

measured 15 of 15 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T14:53:22.755895Z

measured 15 of 15 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

15 of 15 outbound references displayed

  • verified exact0
  • verified fuzzy8
  • unresolved6
  • parse uncertain0
  • malformed identifier1
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 649f39c8-cd80-4e19-8aab-89c36836fc11 · outbound

This paper cites Gibbs measures on Cayley trees.World scientific.2013.

Ground states for the SOS model with an external field on the Cayley tree Gibbs measures on Cayley trees.World scientific.2013

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:53:23.501169Z

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=pdf_text observed=2026-08-14T14:53:22.368291Z digest=sha256:b3f66dd68a6471e6559012470d6c8e1d3f39388a77484de67e7719479cd661d3

Observation 326b39bd-28f1-4866-a8d3-e9170ab1c26b · outbound

This paper cites an unresolved cited work.

Ground states for the SOS model with an external field on the Cayley tree Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:53:23.404066Z

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=pdf_text observed=2026-08-14T14:53:22.442568Z digest=sha256:b501c7d345f5ed208f6e68f6d77aa91fcf1257817be5b46938f749d3cb70a38f

Observation 51701d3e-c386-4a98-8c2c-036faa683b5e · outbound

This paper cites Periodic and Weakly Periodic Ground States for the λ− Model on Cayley Tree.

Ground states for the SOS model with an external field on the Cayley tree Periodic and Weakly Periodic Ground States for the λ− Model on Cayley Tree

Reference 3

Resolution
malformed identifier
no resolver link, observed 2026-08-14T14:53:22.531483Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T14:53:22.531483Z digest=sha256:3e165e8261c335ccadd4a3e0b90e888cde86edb5a1256ace5bbbf98d8c0dd7da

Observation 77ebec2e-527e-4c42-b89a-15a40b9b1d84 · outbound

This paper cites an unresolved cited work.

Ground states for the SOS model with an external field on the Cayley tree Unresolved cited work

Reference 4

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:53:23.300814Z

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=pdf_text observed=2026-08-14T14:53:22.577846Z digest=sha256:87fdb1d70837487fbe5aea7a5af4010a488bd09723da0aef0b6c114b2b2a1ab7

Observation e89237e6-2f00-4196-b4f5-eac1adf0f893 · outbound

This paper cites A contructite Description of Grond States and Gibbs Measures for Ising Model with two step interations on Cayley tree.

Ground states for the SOS model with an external field on the Cayley tree A contructite Description of Grond States and Gibbs Measures for Ising Model with two step interations on Cayley tree

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:53:23.230506Z

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=pdf_text observed=2026-08-14T14:53:22.583922Z digest=sha256:82afb26cb71e5badfee8595261a470643d44f22f957ebfabbda8df67c4708d7c

Observation ac69ea85-c35e-4e03-8369-d00cbf5fd802 · outbound

This paper cites an unresolved cited work.

Ground states for the SOS model with an external field on the Cayley tree Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:53:23.212376Z

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=pdf_text observed=2026-08-14T14:53:22.591303Z digest=sha256:0f34c931fd3d2ed967c371acb590bb0b68598fc15638732c75926fd83201dc87

Observation 0f2f6d4e-1827-4c7f-a8da-0b50ceb66744 · outbound

This paper cites Periodic and Weakly Periodic Ground States for the Potts Model with Competing Interactions on the Cayley Tree.2016.

Ground states for the SOS model with an external field on the Cayley tree Periodic and Weakly Periodic Ground States for the Potts Model with Competing Interactions on the Cayley Tree.2016

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:53:23.194059Z

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=pdf_text observed=2026-08-14T14:53:22.598039Z digest=sha256:85d958c00863b079df308977665f1277e2e9caf186ee84f0af37d2fa0de8dfa5

Observation 246950e8-629e-43d3-9827-79d6df6ee55b · outbound

This paper cites A., Rahmatullaev M.

Ground states for the SOS model with an external field on the Cayley tree A., Rahmatullaev M

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:53:23.175487Z

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=pdf_text observed=2026-08-14T14:53:22.604646Z digest=sha256:f404d981d1303b531e4c058fb67eeb0fdc95473fab22155fa44d1195995738a8

Observation 0123bfa7-3ef8-458e-abf3-c9da546540cb · outbound

This paper cites M., Rasulova M.

Ground states for the SOS model with an external field on the Cayley tree M., Rasulova M

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:53:23.157412Z

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=pdf_text observed=2026-08-14T14:53:22.610437Z digest=sha256:da5739308e3ba614afd28c33957d360a6f3ca27275d4cb53ec392f213a2d99f3

Observation 022f31ce-137f-4036-b7d9-0707c32684f5 · outbound

This paper cites A., Description of limiting Gibbs measures forλ−models on the Bethe lattice.

Ground states for the SOS model with an external field on the Cayley tree A., Description of limiting Gibbs measures forλ−models on the Bethe lattice

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:53:23.137107Z

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=pdf_text observed=2026-08-14T14:53:22.620768Z digest=sha256:1ba7a5cdc46193be11873bb7345b2b7d8f24c4e486a7ec9af626e84cbd4f52a4

Observation d5940614-5944-428c-8ed4-9229cc929211 · outbound

This paper cites A., Describing uncountable number of Gibbs measures for inhomogeneous Ising model, Theor.

Ground states for the SOS model with an external field on the Cayley tree A., Describing uncountable number of Gibbs measures for inhomogeneous Ising model, Theor

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:53:23.118225Z

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=pdf_text observed=2026-08-14T14:53:22.627320Z digest=sha256:696e8b8d9a671b21c1f1b9e9570ed769ecc3659ce44484c182785086dea86514

Observation 70fb71ac-6b30-418a-9ad1-7aa321e32358 · outbound

This paper cites an unresolved cited work.

Ground states for the SOS model with an external field on the Cayley tree Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:53:23.100246Z

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=pdf_text observed=2026-08-14T14:53:22.633011Z digest=sha256:2bede19d0e246c2e60da938ec056a7bf509cbc341d3ef30bd385114473514d0f

Observation 9f9735ac-cf07-4391-a5be-54153b12ee87 · outbound

This paper cites an unresolved cited work.

Ground states for the SOS model with an external field on the Cayley tree Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:53:23.082865Z

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=pdf_text observed=2026-08-14T14:53:22.675919Z digest=sha256:539a16041bf9e777a5ba36551ff6e61308d5ba68e1a415c80b3a9b657e817b2e

Observation 222301a5-3ace-47e4-a3e8-c4ae54ba0ada · outbound

This paper cites A., Suhov Y.

Ground states for the SOS model with an external field on the Cayley tree A., Suhov Y

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:53:23.020400Z

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=pdf_text observed=2026-08-14T14:53:22.723790Z digest=sha256:84c62d7ec153df4d37fd59fabf06262131615571fc6283fefd3a96fff018175b

Observation 552a9558-b270-4f90-850f-dfae33d21813 · outbound

This paper cites an unresolved cited work.

Ground states for the SOS model with an external field on the Cayley tree Unresolved cited work

Reference 15

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:53:22.905786Z

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=pdf_text observed=2026-08-14T14:53:22.755895Z digest=sha256:9aeefc39cd0da150562dae137d1cb260deff3fe535eec94a5386096f9eb56492

Pith citing papers

No inbound Pith citation observations are available.