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Paper Citation Record · LEDGER

On lower bounds for canonical heights of the map $\phi(X,Y)=(Y,X+Y^D+b)$

As of 21 August 2026, this Paper Citation Record lists 18 of 18 outbound references and 0 inbound Pith citation observations for arXiv:2607.12668.

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

pith.paper-citation-record.v1
2607.12668 v3

Coverage vector

measured 18 of 18 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-02T06:31:33.925840Z

measured 18 of 18 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-21T06:32:19.484+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

18 of 18 outbound references displayed

  • verified exact14
  • verified fuzzy0
  • unresolved4
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 5b339a22-07d4-4ab0-a9c4-4977d2c537a7 · outbound

This paper cites an unresolved cited work.

On lower bounds for canonical heights of the map $\phi(X,Y)=(Y,X+Y^D+b)$ Unresolved cited work

Reference 1

Resolution
verified exact
doi, observed 2026-08-02T06:34:19.463983Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-02T06:31:32.490092Z digest=sha256:63bcf3808451f294573664deb6283891b8461e28ab6d9d6fd38d9c2c466ca6f3

Observation 62a713cb-1415-48cf-b70e-f41895d43c58 · outbound

This paper cites and Diviš, B.

On lower bounds for canonical heights of the map $\phi(X,Y)=(Y,X+Y^D+b)$ and Diviš, B

Reference 2

Resolution
verified exact
doi, observed 2026-08-02T06:34:19.239062Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-02T06:31:32.556969Z digest=sha256:ee12eaff93bbfdd4c5a82150c237b88d8e114cea8b08903ca074cb7d476b083a

Observation fa1e6b66-e999-41fe-acca-3cb29e9bbd27 · outbound

This paper cites an unresolved cited work.

On lower bounds for canonical heights of the map $\phi(X,Y)=(Y,X+Y^D+b)$ Unresolved cited work

Reference 3

Resolution
verified exact
doi, observed 2026-08-02T06:34:19.045274Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-02T06:31:32.668750Z digest=sha256:63127f60743ba593c3526d394d6f81292c5f900cfb6f7c129df12bb08bdbb41c

Observation 42aefc86-4c68-4905-bd2b-08a308c226de · outbound

This paper cites an unresolved cited work.

On lower bounds for canonical heights of the map $\phi(X,Y)=(Y,X+Y^D+b)$ Unresolved cited work

Reference 4

Resolution
verified exact
doi, observed 2026-08-02T06:34:18.836840Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-02T06:31:32.757289Z digest=sha256:41937736dc32c5cc6577d4f79e6fef3155ba916a3a23b5bd07602c5446b700e4

Observation 14342ab3-b6da-4155-a073-e81e95d5d53a · outbound

This paper cites an unresolved cited work.

On lower bounds for canonical heights of the map $\phi(X,Y)=(Y,X+Y^D+b)$ Unresolved cited work

Reference 5

Resolution
verified exact
doi, observed 2026-08-02T06:34:18.658718Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-02T06:31:32.768227Z digest=sha256:5611dec78f5cd8c3ab4d62933b777894601dfe9ff0f70126f0415ceb47430d01

Observation 27f6aad9-841f-499c-bed5-685207ce183c · outbound

This paper cites and Little, John and O'Shea, Donal , TITLE =.

On lower bounds for canonical heights of the map $\phi(X,Y)=(Y,X+Y^D+b)$ and Little, John and O'Shea, Donal , TITLE =

Reference 6

Resolution
unresolved
no resolver link, observed 2026-08-02T06:31:32.786618Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-02T06:31:32.786618Z digest=sha256:51d7794dd08f6feb12d6dd1ee6c9648166cfcba7ac64b38fef1cfbd3baee073b

Observation 8d1befe6-d821-450b-be05-f19a9bc2451a · outbound

This paper cites A proof of the Schinzel-Zassenhaus conjecture on polynomials.

On lower bounds for canonical heights of the map $\phi(X,Y)=(Y,X+Y^D+b)$ A proof of the Schinzel-Zassenhaus conjecture on polynomials

Reference 7

Resolution
unresolved
no resolver link, observed 2026-08-02T06:31:32.813040Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-02T06:31:32.813040Z digest=sha256:a16c5bbbdfc3eaac0096dae66d8880f7122b89da1d1b72c1fb9e01ad4ea8ae87

Observation 9b7e9a81-619f-402d-8c67-59ab75642485 · outbound

This paper cites , TITLE =.

On lower bounds for canonical heights of the map $\phi(X,Y)=(Y,X+Y^D+b)$ , TITLE =

Reference 8

Resolution
verified exact
doi, observed 2026-08-02T06:34:18.489323Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-02T06:31:32.844305Z digest=sha256:f9c88fd918cbe0198462e2c0816fba406a798204a3847b6f0730cd676d14a0e3

Observation fbfd3985-a1e5-4637-aa40-61605531c973 · outbound

This paper cites an unresolved cited work.

On lower bounds for canonical heights of the map $\phi(X,Y)=(Y,X+Y^D+b)$ Unresolved cited work

Reference 9

Resolution
verified exact
doi, observed 2026-08-02T06:34:18.345455Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-02T06:31:32.877415Z digest=sha256:0464b19c019407087d0e11aa16340f9bc2472bb1aea9e11a02564734c4945a2b

Observation b97bb6df-f54a-4595-900a-f4a564735e4f · outbound

This paper cites an unresolved cited work.

On lower bounds for canonical heights of the map $\phi(X,Y)=(Y,X+Y^D+b)$ Unresolved cited work

Reference 10

Resolution
verified exact
doi, observed 2026-08-02T06:34:18.014486Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-02T06:31:32.918741Z digest=sha256:0cc9cf677c1a22aa08ffe34de3eebee218722bed75e3ef4f65e89388921d3f18

Observation 0426453b-60bb-498e-8566-0f69ae68c201 · outbound

This paper cites an unresolved cited work.

On lower bounds for canonical heights of the map $\phi(X,Y)=(Y,X+Y^D+b)$ Unresolved cited work

Reference 11

Resolution
verified exact
doi, observed 2026-08-02T06:34:17.714162Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-02T06:31:32.968906Z digest=sha256:30629038264ae46017ea11c163c0ef8ef292ed00e0982e0631fe87140ddeed03

Observation 99bf052f-6858-41ef-8699-4c87b46bddaa · outbound

This paper cites an unresolved cited work.

On lower bounds for canonical heights of the map $\phi(X,Y)=(Y,X+Y^D+b)$ Unresolved cited work

Reference 12

Resolution
verified exact
doi, observed 2026-08-02T06:34:17.528068Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-02T06:31:33.003847Z digest=sha256:96dbd7b1cad029ed799bc2f6dc261ddea6e51767ef88c4bc31ebdea035156365

Observation 4c4e91da-30b9-47ad-950a-316dec0456c4 · outbound

This paper cites an unresolved cited work.

On lower bounds for canonical heights of the map $\phi(X,Y)=(Y,X+Y^D+b)$ Unresolved cited work

Reference 13

Resolution
verified exact
doi, observed 2026-08-02T06:34:17.200578Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-02T06:31:33.122227Z digest=sha256:b2aaee77c5a451c8db0142d73b118979ec6f40ae04a78af2458722613a97f02e

Observation 5ef7e261-2b4e-4f5f-a247-1abc5f0da02d · outbound

This paper cites , TITLE =.

On lower bounds for canonical heights of the map $\phi(X,Y)=(Y,X+Y^D+b)$ , TITLE =

Reference 14

Resolution
unresolved
no resolver link, observed 2026-08-02T06:31:33.207052Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-02T06:31:33.207052Z digest=sha256:ef71ec4b9574d8191a06ec1bcd4fb42717a322611c4c291d2715ac38430dfe66

Observation 8ef53214-b3af-4ef3-b0dd-3dc2fb0d589c · outbound

This paper cites [2021] 2021 , PAGES =.

On lower bounds for canonical heights of the map $\phi(X,Y)=(Y,X+Y^D+b)$ [2021] 2021 , PAGES =

Reference 15

Resolution
verified exact
doi, observed 2026-08-02T06:34:16.751959Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-02T06:31:33.264411Z digest=sha256:2849aa3a1d00553005ea92dc64968a4ecc95e2d5e0faa61e08b812da66dc7c9b

Observation 044e9b10-55ed-4af8-91b4-29ac6ab3a187 · outbound

This paper cites , TITLE =.

On lower bounds for canonical heights of the map $\phi(X,Y)=(Y,X+Y^D+b)$ , TITLE =

Reference 16

Resolution
verified exact
doi, observed 2026-08-02T06:34:16.383427Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-02T06:31:33.356684Z digest=sha256:1a32f237752a096debf3eb830c2f4b2f227096d2b3a5ab2bb2595bed369a0f14

Observation 53180bd1-604d-467c-a3e4-a0568a2256f6 · outbound

This paper cites an unresolved cited work.

On lower bounds for canonical heights of the map $\phi(X,Y)=(Y,X+Y^D+b)$ Unresolved cited work

Reference 22

Resolution
verified exact
doi, observed 2026-08-02T06:34:15.919179Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-02T06:31:33.860320Z digest=sha256:7fba0933285601de88876afdf409f445b80db8058211ef32d0e5a182f3bd1d0b

Observation 67ab01b2-6033-4889-8479-4b656b61195c · outbound

This paper cites , TITLE =.

On lower bounds for canonical heights of the map $\phi(X,Y)=(Y,X+Y^D+b)$ , TITLE =

Reference 23

Resolution
unresolved
no resolver link, observed 2026-08-02T06:31:33.925840Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-02T06:31:33.925840Z digest=sha256:5a29e8e71b0c88a059016960cf9abbe2c92ddba56c6533970089831b0d309437

Pith citing papers

No inbound Pith citation observations are available.