Pith Number

pith:3PZMHOD2

pith:2003:3PZMHOD2ZFNL44YPEJU4IQOTP4

not attested not anchored not stored refs pending

omega-Periodic graphs

Chris Hoffman, Itai Benjamini

arxiv:math/0308092 v1 · 2003-08-10 · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3PZMHOD2ZFNL44YPEJU4IQOTP4}

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.

Receipt and verification

First computed	2026-07-04T14:37:39.175060Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dbf2c3b87ac95abe730f2269c441d37f3fa48bf794b06ac8202786459caf3a10

Aliases

arxiv: math/0308092 · arxiv_version: math/0308092v1 · doi: 10.48550/arxiv.math/0308092 · pith_short_12: 3PZMHOD2ZFNL · pith_short_16: 3PZMHOD2ZFNL44YP · pith_short_8: 3PZMHOD2

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/3PZMHOD2ZFNL44YPEJU4IQOTP4 \
  | 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: dbf2c3b87ac95abe730f2269c441d37f3fa48bf794b06ac8202786459caf3a10

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7c30e87e29736a952442faae6ff73e5c897b8b29ada6740b3401c1fea2e2f65c",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.MG",
    "submitted_at": "2003-08-10T16:13:57Z",
    "title_canon_sha256": "eabc9c982fc4c260b1f415ef51736a7250a93755781f13a44779508b73b40365"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0308092",
    "kind": "arxiv",
    "version": 1
  }
}