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Paper Citation Record · LEDGER

Generalized Theta Series of a Lattice

As of 18 August 2026, this Paper Citation Record lists 25 of 25 outbound references and 0 inbound Pith citation observations for arXiv:2507.03178.

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

pith.paper-citation-record.v1
2507.03178 v2

Coverage vector

measured 25 of 25 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T20:27:08.502761Z

measured 25 of 25 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

25 of 25 outbound references displayed

  • verified exact1
  • verified fuzzy20
  • unresolved4
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 25506668-1415-4c57-a60b-2dcc294c60cf · outbound

This paper cites Generalized Hamming weights for linear codes,.

Generalized Theta Series of a Lattice Generalized Hamming weights for linear codes,

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:27:11.823636Z

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=pdf_text observed=2026-08-06T20:27:06.226175Z digest=sha256:e4dc4c3fa2fcd4758b2941057cca2ca0799b48e502ba3dfc9785950811414a12

Observation 9c7fe859-bd70-468e-8c6d-b7682d5fa59d · outbound

This paper cites an unresolved cited work.

Generalized Theta Series of a Lattice Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-08-06T20:27:11.578910Z

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=pdf_text observed=2026-08-06T20:27:06.338343Z digest=sha256:2f1ccbb31164465053e7d46675f44c414aa631c2174259a39c23f7e170498b31

Observation d3d8b078-977c-4278-9fb9-d6b3e7d2d953 · outbound

This paper cites an unresolved cited work.

Generalized Theta Series of a Lattice Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-08-06T20:27:11.450722Z

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=pdf_text observed=2026-08-06T20:27:06.439108Z digest=sha256:4c8f00f0445d01fff55306c877756959d2963c54f3b5a5a142319514184495a6

Observation 1a2ced76-7f18-4f30-8b11-d003b6cec148 · outbound

This paper cites Ternary positive definite quadratic forms are determined by their theta series,.

Generalized Theta Series of a Lattice Ternary positive definite quadratic forms are determined by their theta series,

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:27:11.288000Z

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=pdf_text observed=2026-08-06T20:27:06.551731Z digest=sha256:45c645a20c9c4c9b2e560e370401d80daa3673ca6277373d0dfc6579a3cb27ab

Observation c0d639d9-a16f-4c21-8cdc-46219949860d · outbound

This paper cites A reverse Minkowski theorem,.

Generalized Theta Series of a Lattice A reverse Minkowski theorem,

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:27:11.028559Z

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=pdf_text observed=2026-08-06T20:27:06.678145Z digest=sha256:d5d6e9f72e4bc23a3108bffbde295c980b04b1a85a51e54703bd3cde3267f558

Observation faf30df4-6a8e-4b45-995c-0ba763d82ab6 · outbound

This paper cites A simple proof of a reverse Minkowski theorem for integral lattices.

Generalized Theta Series of a Lattice A simple proof of a reverse Minkowski theorem for integral lattices

Reference 6

Resolution
verified exact
local_arxiv, observed 2026-08-06T20:27:08.654885Z

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=pdf_text observed=2026-08-06T20:27:06.786815Z digest=sha256:bc11e2211225a586bcbfb39f05c18b45f88eca907ddee2aa0364ace495a372be

Observation f825fcf2-5ba9-4a39-9759-fea0f64cf57c · outbound

This paper cites Unimodular lattices for the Gaussian wiretap channel,.

Generalized Theta Series of a Lattice Unimodular lattices for the Gaussian wiretap channel,

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:27:10.922517Z

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=pdf_text observed=2026-08-06T20:27:06.920849Z digest=sha256:acf3d03d2cf8f9e1fc521a5c55a369963bf71a5a004c1bd8810b511a96409894

Observation 1814d11b-7335-46eb-a134-76c3c6d59269 · outbound

This paper cites On a conjecture by Belfiore and Solé on some lattices,.

Generalized Theta Series of a Lattice On a conjecture by Belfiore and Solé on some lattices,

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:27:10.785658Z

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=pdf_text observed=2026-08-06T20:27:07.059619Z digest=sha256:b708c5d68d31d1d493e52e4330f8f24ad3e280fc12da9ea449f239d8418f6b58

Observation b0dd8359-9cd0-4dd6-9065-d7d3c6a5a8c2 · outbound

This paper cites Gaussian wiretap lattice codes from binary self- dual codes,.

Generalized Theta Series of a Lattice Gaussian wiretap lattice codes from binary self- dual codes,

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:27:10.693960Z

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=pdf_text observed=2026-08-06T20:27:07.178217Z digest=sha256:7a32a44cad49d7953f905d43d30b06f0100a1005f957bd740b30ca4feb0616dc

Observation a78252e0-68c4-46c8-9898-7c9660684f5c · outbound

This paper cites A classification of unimodular lattice wiretap codes in small dimensions,.

Generalized Theta Series of a Lattice A classification of unimodular lattice wiretap codes in small dimensions,

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:27:10.584528Z

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=pdf_text observed=2026-08-06T20:27:07.321451Z digest=sha256:c5faec8b17871bc5aa643eb15527bbc7901f642d0018e8e2e9e59e6631403eed

Observation 39f375b1-b38b-4fdf-9a86-fa6785d64674 · outbound

This paper cites The Belfiore-Solé conjecture and a certain technique for verifying it for a given lattice,.

Generalized Theta Series of a Lattice The Belfiore-Solé conjecture and a certain technique for verifying it for a given lattice,

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:27:10.474647Z

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=pdf_text observed=2026-08-06T20:27:07.454867Z digest=sha256:abebe4baa6c2f1d30574134afdc536d6403dee276d3ca2c0120b9f681ea47f91

Observation 1c1c8fbd-b31d-4a8d-8db5-3e8b1685f4ec · outbound

This paper cites Formally unimodular pack- ings for the Gaussian wiretap channel,.

Generalized Theta Series of a Lattice Formally unimodular pack- ings for the Gaussian wiretap channel,

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:27:10.369002Z

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=pdf_text observed=2026-08-06T20:27:07.535865Z digest=sha256:d7f2ae4afa181674ffbfdb7e3cf3f823b273623c9f19ff776ec927259c95ab98

Observation b36b7ef2-a666-47ec-9c5a-18a883859ec8 · outbound

This paper cites Secrecy gain of formally unimodular lattices from codes over the integers modulo 4,.

Generalized Theta Series of a Lattice Secrecy gain of formally unimodular lattices from codes over the integers modulo 4,

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:27:10.217540Z

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=pdf_text observed=2026-08-06T20:27:07.612141Z digest=sha256:589aced9e8dece756283edc4d9814e2da02da13c15d9300492c6b1b86f4df795

Observation 05fb4713-afa3-4b06-8eda-92c6edec3b7a · outbound

This paper cites Lattice codes for the wiretap Gaussian channel: Construction and analysis,.

Generalized Theta Series of a Lattice Lattice codes for the wiretap Gaussian channel: Construction and analysis,

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:27:10.122945Z

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=pdf_text observed=2026-08-06T20:27:07.684446Z digest=sha256:a8342333d6b2f9247c8fc49f6616be9e75ec306dc9deb6e79256d070ed906b45

Observation 934caf82-c021-47c5-8ea0-bbfdfdb52cf1 · outbound

This paper cites Algorithms for the densest sub- lattice problem,.

Generalized Theta Series of a Lattice Algorithms for the densest sub- lattice problem,

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:27:10.011281Z

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=pdf_text observed=2026-08-06T20:27:07.748225Z digest=sha256:65097f1504f5358bba4d8c9ba4455c882650c1de5f3f3846425f8db7488dbf7a

Observation ea0580f8-e705-48ae-88dd-23ba1e9fd8ec · outbound

This paper cites Stability and new non-abelian zeta functions,.

Generalized Theta Series of a Lattice Stability and new non-abelian zeta functions,

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:27:09.893690Z

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=pdf_text observed=2026-08-06T20:27:07.824648Z digest=sha256:a10557e9f574138632d662cb27ccedecd5fb4bb1c3b62493a971f12223554409

Observation ea2bcfc7-d0a6-4c5b-93c0-b14a4df13d15 · outbound

This paper cites Extended and generalized weight enumera- tors,.

Generalized Theta Series of a Lattice Extended and generalized weight enumera- tors,

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:27:09.763182Z

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=pdf_text observed=2026-08-06T20:27:07.890775Z digest=sha256:5a0bc24a5d76bef62e3ddaed26623d8f94c3e500c65215c3bbe84b41162126ca

Observation 64161d0a-5fa7-4504-b9c0-6bf6f2a26297 · outbound

This paper cites Zamir, Lattice Coding for Signals and Networks.

Generalized Theta Series of a Lattice Zamir, Lattice Coding for Signals and Networks

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:27:09.629271Z

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=pdf_text observed=2026-08-06T20:27:07.958122Z digest=sha256:30a13a71815602b988fdc6d7f504299692c6729f77ad68f8fca07d991d1cc89d

Observation b379d723-73c6-42cf-b251-773a4b20deb8 · outbound

This paper cites A reverse Minkowski theorem,.

Generalized Theta Series of a Lattice A reverse Minkowski theorem,

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:27:09.493833Z

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=pdf_text observed=2026-08-06T20:27:08.054937Z digest=sha256:463428a25673e751f84b0c872b9c1a9a0c5a4cbfd70d76e246c48ed32549e562

Observation a177bdb0-098e-4626-9df5-a430c909b458 · outbound

This paper cites On the Maximum Flatness Factor over Unimodular Lattices.

Generalized Theta Series of a Lattice On the Maximum Flatness Factor over Unimodular Lattices

Reference 20

Resolution
unresolved
no resolver link, observed 2026-08-06T20:27:08.156940Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T20:27:08.156940Z digest=sha256:7584b75a3649f9998fb995b8fcfb9eb0bccfb644d477034ae27cc9f5809ddb64

Observation 0b8b1f19-0d54-4f3b-9f24-0f36428d52bb · outbound

This paper cites Micciancio and S.

Generalized Theta Series of a Lattice Micciancio and S

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:27:09.349403Z

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=pdf_text observed=2026-08-06T20:27:08.230198Z digest=sha256:d931f077a2c20641cb0e01c5e6ed0cb118da07a5f7b45516232cfcbac1c97e8e

Observation a4d0dbdf-91fb-4271-8e02-a9c8101bc310 · outbound

This paper cites On approximating the covering radius and finding dense lat- tice subspaces,.

Generalized Theta Series of a Lattice On approximating the covering radius and finding dense lat- tice subspaces,

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:27:09.217109Z

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=pdf_text observed=2026-08-06T20:27:08.294632Z digest=sha256:cdad6ff3d278705222316140dbb6f82e183360003efdcbe3529ece274a8eb37e

Observation 635b4df1-901f-4c8b-81c5-8f80e9fd1d6a · outbound

This paper cites On the lattice isomorphism problem, quadratic forms, remarkable lattices, and cryptography,.

Generalized Theta Series of a Lattice On the lattice isomorphism problem, quadratic forms, remarkable lattices, and cryptography,

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:27:09.076500Z

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=pdf_text observed=2026-08-06T20:27:08.365400Z digest=sha256:9ea5e4ac458f1b4565bc125f61b273d0eb8eba171a3f08202b3f4720bbd5f8c7

Observation 054aa32a-5afa-4d6a-8790-21149bec3106 · outbound

This paper cites Isodual codes over Z2k and isodual lattices,.

Generalized Theta Series of a Lattice Isodual codes over Z2k and isodual lattices,

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:27:08.947549Z

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=pdf_text observed=2026-08-06T20:27:08.405917Z digest=sha256:ce8b0118341478b6709c04ff56af9492c350213497be9a67ecdf57d4ca840ee4

Observation ab2e162b-e3fb-49b2-abd5-f502c688231d · outbound

This paper cites an unresolved cited work.

Generalized Theta Series of a Lattice Unresolved cited work

Reference 25

Resolution
unresolved
raw_fallback, observed 2026-08-06T20:27:08.803533Z

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=pdf_text observed=2026-08-06T20:27:08.502761Z digest=sha256:7604c907a44ba812402a2b7a69514a139c21adf79ed9a0a09eeccb8dfb5fbfa8

Pith citing papers

No inbound Pith citation observations are available.