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Paper Citation Record · LEDGER

On a lattice generalisation of the logarithm and a deformation of the Dedekind eta function

As of 16 August 2026, this Paper Citation Record lists 22 of 22 outbound references and 0 inbound Pith citation observations for arXiv:1908.01515.

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

pith.paper-citation-record.v1
1908.01515 v2

Coverage vector

measured 22 of 22 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T15:23:30.958667Z

measured 22 of 22 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

22 of 22 outbound references displayed

  • verified exact2
  • verified fuzzy12
  • unresolved8
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation a837e1c0-8eaf-433f-8266-f4c6cdcd271c · outbound

This paper cites Bergman, M.R.

On a lattice generalisation of the logarithm and a deformation of the Dedekind eta function Bergman, M.R

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:23:33.911492Z

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=2026-08-14T15:23:30.197890Z digest=sha256:0b2a3ad390570a9941ad76b3929908bf7b558980f2b18b24cbccabfaca2c22df

Observation 042b0764-5daa-4eaa-a4a1-62fa1c9011ef · outbound

This paper cites B´ etermin.

On a lattice generalisation of the logarithm and a deformation of the Dedekind eta function B´ etermin

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:23:33.836154Z

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=2026-08-14T15:23:30.305311Z digest=sha256:645274c2ebbc89dbc562df45e7db686b5703a998badf38eb259050b692987f79

Observation 3326e325-7684-4b17-9aa1-3512006c35b1 · outbound

This paper cites B´ etermin.

On a lattice generalisation of the logarithm and a deformation of the Dedekind eta function B´ etermin

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:23:33.709164Z

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 965517a5-3088-4e4d-8fee-6be07b46658c · outbound

This paper cites B´ etermin and H.

On a lattice generalisation of the logarithm and a deformation of the Dedekind eta function B´ etermin and H

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:23:33.592927Z

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 39bcd1e5-ff19-4bab-807c-31e640a2941e · outbound

This paper cites B´ etermin and H.

On a lattice generalisation of the logarithm and a deformation of the Dedekind eta function B´ etermin and H

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:23:33.473235Z

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=2026-08-14T15:23:30.382084Z digest=sha256:02ef900c3939499acb611f2a4c0c8bacf82142abd883a91485caa54b01c374c8

Observation 207f922d-56f6-4a5f-8caa-aa92fd17cfc7 · outbound

This paper cites an unresolved cited work.

On a lattice generalisation of the logarithm and a deformation of the Dedekind eta function Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-08-14T15:23:33.332451Z

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 51c8e6f8-21b0-44cb-a05b-21cf07235897 · outbound

This paper cites Cohn and A.

On a lattice generalisation of the logarithm and a deformation of the Dedekind eta function Cohn and A

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:23:33.225015Z

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=2026-08-14T15:23:30.397774Z digest=sha256:9c73fa198af7653e894482edd7421ebf4299ad30cf370a81feb746443787141e

Observation 7f7ecbb1-dc77-436a-97a4-6a3733e17674 · outbound

This paper cites an unresolved cited work.

On a lattice generalisation of the logarithm and a deformation of the Dedekind eta function Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-14T15:23:33.059913Z

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=2026-08-14T15:23:30.403261Z digest=sha256:b51426da69dc97e10e6611ed1c0ee779ecdaf4aa51204a757268b11fb863358d

Observation 29d17368-9225-4fd1-8eaa-593dca566483 · outbound

This paper cites an unresolved cited work.

On a lattice generalisation of the logarithm and a deformation of the Dedekind eta function Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-08-14T15:23:32.990794Z

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=2026-08-14T15:23:30.408852Z digest=sha256:8b6bbe1200c2de36d37a7b5721e14175c3013945afca68e30fa9f5a7e437cbb9

Observation 9b63e21c-af0b-412f-8c61-0c45afeaeaee · outbound

This paper cites Extremal Determinants of Laplace-Beltrami Operators for Rectangular Tori.

On a lattice generalisation of the logarithm and a deformation of the Dedekind eta function Extremal Determinants of Laplace-Beltrami Operators for Rectangular Tori

Reference 10

Resolution
verified exact
local_arxiv, observed 2026-08-14T15:23:31.262088Z

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=2026-08-14T15:23:30.416796Z digest=sha256:a6c8b8a5f94270fc433a265493d57d1d5a0d77a466223ac84bd68cc0b8c392aa

Observation 1665578e-3627-4e78-baf2-4a262a515efa · outbound

This paper cites an unresolved cited work.

On a lattice generalisation of the logarithm and a deformation of the Dedekind eta function Unresolved cited work

Reference 11

Resolution
unresolved
raw_fallback, observed 2026-08-14T15:23:32.852916Z

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=2026-08-14T15:23:30.477074Z digest=sha256:5544d1b2e1de8bbe1795742cc391a7fc268a468a0b495a5a0198c78ec5e704e4

Observation 00540880-4b53-4db0-868b-1126cc17cfd3 · outbound

This paper cites Krazer and E.

On a lattice generalisation of the logarithm and a deformation of the Dedekind eta function Krazer and E

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:23:32.791198Z

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=2026-08-14T15:23:30.563968Z digest=sha256:a8ea818b9fa932c02b12915628ea967e5fdb310449d13a6fe2719ac2bdd888b6

Observation b265d1e4-c83e-4885-b551-4e8c385c9a53 · outbound

This paper cites Non-hexagonal lattices from a two species interacting system.

On a lattice generalisation of the logarithm and a deformation of the Dedekind eta function Non-hexagonal lattices from a two species interacting system

Reference 13

Resolution
verified exact
local_arxiv, observed 2026-08-14T15:23:31.164339Z

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=2026-08-14T15:23:30.667564Z digest=sha256:437e20545814967584f050451b2e82641ee3dbd736eee02bbb33d36e8e9f3609

Observation 6eb0578b-1056-45d7-9c1b-736fbcc23832 · outbound

This paper cites an unresolved cited work.

On a lattice generalisation of the logarithm and a deformation of the Dedekind eta function Unresolved cited work

Reference 14

Resolution
unresolved
raw_fallback, observed 2026-08-14T15:23:32.572908Z

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=2026-08-14T15:23:30.674745Z digest=sha256:b3a999ee8807289b334c6b1114038f13fd247d5314de6228c93bdb17afc3ce13

Observation dc973654-9f64-4361-83ec-3089d9a89c3f · outbound

This paper cites an unresolved cited work.

On a lattice generalisation of the logarithm and a deformation of the Dedekind eta function Unresolved cited work

Reference 15

Resolution
unresolved
no resolver link, observed 2026-08-14T15:23:30.682358Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T15:23:30.682358Z digest=sha256:038680e7f449b4c99011b54a35b38ddafaceb8a04a8bd6731363d0fddb8e2488

Observation 990b4aff-0e98-462c-950f-7d68ca8aa525 · outbound

This paper cites Nikiforov and V.B.

On a lattice generalisation of the logarithm and a deformation of the Dedekind eta function Nikiforov and V.B

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:23:32.300196Z

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=2026-08-14T15:23:30.691577Z digest=sha256:5aec8a0e3884fd203cd9f616a4b71ceee5bdceeffb38eab3474df0b4de96e90f

Observation 42e5099e-25fe-4acc-a953-8e65f129e794 · outbound

This paper cites Osgood, R.

On a lattice generalisation of the logarithm and a deformation of the Dedekind eta function Osgood, R

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:23:32.044537Z

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=2026-08-14T15:23:30.698042Z digest=sha256:7fe38651103acefd70a950f62ef51c5144e86a0ca76e418e126385d50230ac2b

Observation e9dd59b4-89a3-428e-a4e8-ba538ae9eb00 · outbound

This paper cites an unresolved cited work.

On a lattice generalisation of the logarithm and a deformation of the Dedekind eta function Unresolved cited work

Reference 18

Resolution
unresolved
raw_fallback, observed 2026-08-14T15:23:31.922286Z

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=2026-08-14T15:23:30.704933Z digest=sha256:b42adedb3a5a05f571436aa4c7191a0b21037c0c93f533247298f97ff09577bc

Observation d4704e1b-7fb4-4749-95a5-cd231656bc99 · outbound

This paper cites Sandier and S.

On a lattice generalisation of the logarithm and a deformation of the Dedekind eta function Sandier and S

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:23:31.775297Z

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=2026-08-14T15:23:30.711831Z digest=sha256:156d1efd52ac407bc9a0575bb8dedde818f9b3706d55d40d97af5875759e5a5e

Observation efe3db1e-1b9d-45e9-b187-9c797e696976 · outbound

This paper cites Sarnak and A.

On a lattice generalisation of the logarithm and a deformation of the Dedekind eta function Sarnak and A

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:23:31.561350Z

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=2026-08-14T15:23:30.724198Z digest=sha256:fdc1320b8dd6e4e706a912827851ed8d6ba9949bdf601e4f2b7dbf58036ce1f7

Observation 6d259cc4-0594-4dbc-9f34-482da67b4d5e · outbound

This paper cites an unresolved cited work.

On a lattice generalisation of the logarithm and a deformation of the Dedekind eta function Unresolved cited work

Reference 21

Resolution
unresolved
raw_fallback, observed 2026-08-14T15:23:31.480531Z

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 ccd896c3-56c0-4d80-a377-0dab7115817f · outbound

This paper cites Ventevogel.

On a lattice generalisation of the logarithm and a deformation of the Dedekind eta function Ventevogel

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:23:31.453167Z

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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Pith citing papers

No inbound Pith citation observations are available.