Pith Number

pith:HSAWAGUR

pith:2013:HSAWAGURKAYBOFAMMWQ2QLFSV5

not attested not anchored not stored refs pending

Partial difference equations over compact Abelian groups, I: modules of solutions

Tim Austin

arxiv:1305.7269 v5 · 2013-05-30 · math.FA · math.AC · math.CO · math.DS

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HSAWAGURKAYBOFAMMWQ2QLFSV5}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Cited by

1 paper in Pith

Uniform nonlinear Szemer\'{e}di theorem for corners in finite fields

Receipt and verification

First computed	2026-05-18T02:39:24.148730Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3c81601a91503017140c65a1a82cb2af4d7efc47879ddaf3ecc0cbfa25ab9364

Aliases

arxiv: 1305.7269 · arxiv_version: 1305.7269v5 · doi: 10.48550/arxiv.1305.7269 · pith_short_12: HSAWAGURKAYB · pith_short_16: HSAWAGURKAYBOFAM · pith_short_8: HSAWAGUR

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/HSAWAGURKAYBOFAMMWQ2QLFSV5 \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 3c81601a91503017140c65a1a82cb2af4d7efc47879ddaf3ecc0cbfa25ab9364

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6210f1f8a8bb47d1f8931e2efada76e59957a537d248137b6988e558a687cd44",
    "cross_cats_sorted": [
      "math.AC",
      "math.CO",
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2013-05-30T23:21:14Z",
    "title_canon_sha256": "fcba1ed20d8eabbe2e818740479ce2ddcfbdef4e3ff4e699c4cfe577b209db39"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.7269",
    "kind": "arxiv",
    "version": 5
  }
}