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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=sha256:23c9109a6ef817c548ddc40df8c5361928bfbb7d1e8eae8931b3d96e5781a910

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:eeacc9be45d4cab8d837b8b6e5415f0561aea19fdceecf87b4b6028e4dc34cbe

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:a1168c3c0d2c1a9c7038e042989a328a1fbdbdb18657f9fcfb2d98ae85d035a2

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:c63e60d949fee6f764a3a864b78ea0617f6248bef1c6f72ad531cf7264e91e7c

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=sha256:285ed41cdcef540c066c3bf57bd40c6ea3b408de24db1800c03ae9a028bd6be9

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:a357363f872b8b1d2f2e9dc9c4eda9327c044f62ad47721df9659f4f49722eb6

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=sha256:34e1d3d2fead0f1ede1967feba433c078523f3cc4c46cf4538a26af33b9e6d86

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:cf2efb5bda432c6d4e86a6b26c3eadcdbce9ef4cd3af86e1316290c798e721e5

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:a54db30ef2f7d90030d771fce3b6e770d845c2e578c42c8f4b6a88f8ff8b74e1

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:cf70f1857e6f37f49763d68cab655ab9266c6e108223dd254bac34af7cd73d33

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=sha256:2e0b2340297225a725e91bfc1d0ca1361eb1da030627d4cbf2258d1139b49889

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:b5b9f08039d714de2b50f2fe220fc882b09bdfcd164919a5856f18f5caa407f7

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:bfe16c7ce0667f2f2710f2959ca0460c795c4ade76c6afb66cf0d9e685edff2f

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=sha256:6b0e9f8d2d9960b1e835c1bcdb481988a10a59ede1c5a2a556b4858970e43d60

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=sha256:63cca3057c686892b06b5f9dff288c40ebec7f8a7d13ae03c6f3c4541f2b4412

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=sha256:3ce4d46d2c0bc2d4c9c927f027d8e1832113d509ffa4a2e69dfa581ca89bcdf4

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=sha256:691d9cedb7a10f4d87e0db14e7fd3446f8032bd526f919464fa697376c33d0bb

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=sha256:88883cbe90c201d3db10ef862e43997a166e50f7bb3cb285f907a74277358d46

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:c92fa6a8e3f23ffb7e914c3b235425c36b2a6fecd598d6392023e18ec6e8d282

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=sha256:48777252f8647aab0b861692f773716e33c1ab99d0d2844fa99ea06451db146a

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=sha256:27f5511144443fd8a3f5d12a35d5750288af672a132e0b3329e7da68d2260f4c

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=sha256:0064d9481d1e0113ee1ef65e24f2908b52dc1ae48740f5d7278816d67e838fb9

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=sha256:4d948ecd93dc6cf839d3bae9fbf4913b081f0f44e32cf480930e87aaf444ceef

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=sha256:81c1be50c5090eec0055183fe519862b3edcdaac4e05cb7bb3cb27cba17b9bfe

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=sha256:59882b4abb718b255ff184483599b1e317789f5ae7806f348efa54c64a4673e1

Pith citing papers

No inbound Pith citation observations are available.