Pith Number

pith:OKEHJNE6

pith:2012:OKEHJNE6KF3QCPOV7SZ6RFU4VT

not attested not anchored not stored refs pending

Graph decomposition and parity

Amanda Redlich, Bobby DeMarco

arxiv:1211.2243 v3 · 2012-11-09 · 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{OKEHJNE6KF3QCPOV7SZ6RFU4VT}

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	2026-05-18T02:28:13.579830Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

728874b49e5177013dd5fcb3e8969cacebd70b52c3b7c715adda076773d6a39c

Aliases

arxiv: 1211.2243 · arxiv_version: 1211.2243v3 · doi: 10.48550/arxiv.1211.2243 · pith_short_12: OKEHJNE6KF3Q · pith_short_16: OKEHJNE6KF3QCPOV · pith_short_8: OKEHJNE6

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/OKEHJNE6KF3QCPOV7SZ6RFU4VT \
  | 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: 728874b49e5177013dd5fcb3e8969cacebd70b52c3b7c715adda076773d6a39c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5324f7bfbb3143b8abbd22423e8843ed347d742959aa42563793d28617422bd6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-11-09T21:10:45Z",
    "title_canon_sha256": "f343fc328356fa49eefe6da0226f6abcc58353bfa0bdd4d61ca531700573aa24"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.2243",
    "kind": "arxiv",
    "version": 3
  }
}