Pith Number

pith:LNWZ2JOE

pith:2010:LNWZ2JOESYBIUZR7Z7QHHNR4Y3

not attested not anchored not stored refs pending

Subdivisions in apex graphs

Elad Aigner-Horev

arxiv:1012.5792 v1 · 2010-12-28 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LNWZ2JOESYBIUZR7Z7QHHNR4Y3}

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	2026-05-18T04:32:21.537406Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5b6d9d25c496028a663fcfe073b63cc6c20b576bbe4e57887fb67a42cbd4ca27

Aliases

arxiv: 1012.5792 · arxiv_version: 1012.5792v1 · doi: 10.48550/arxiv.1012.5792 · pith_short_12: LNWZ2JOESYBI · pith_short_16: LNWZ2JOESYBIUZR7 · pith_short_8: LNWZ2JOE

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/LNWZ2JOESYBIUZR7Z7QHHNR4Y3 \
  | 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: 5b6d9d25c496028a663fcfe073b63cc6c20b576bbe4e57887fb67a42cbd4ca27

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c508427e771554acd4d4c771a1ef0ab8a429e13731f5a20d36e026aab4612c9c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2010-12-28T16:58:01Z",
    "title_canon_sha256": "3f230f2911ad91a37ea5bdbe34c1c6faa5d6643944d6a4ce91449084f34c7085"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.5792",
    "kind": "arxiv",
    "version": 1
  }
}