Pith Number

pith:B3MMSMFW

pith:2013:B3MMSMFWCDF3A36GIAK5H3POIH

not attested not anchored not stored refs pending

Further results on the global cyclicity index of graphs

Yujun Yang

arxiv:1303.0369 v1 · 2013-03-02 · 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{B3MMSMFWCDF3A36GIAK5H3POIH}

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	2026-05-18T03:31:56.316519Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0ed8c930b610cbb06fc64015d3edee41ece945b1f7cc9f2c7e0a13600df65242

Aliases

arxiv: 1303.0369 · arxiv_version: 1303.0369v1 · doi: 10.48550/arxiv.1303.0369 · pith_short_12: B3MMSMFWCDF3 · pith_short_16: B3MMSMFWCDF3A36G · pith_short_8: B3MMSMFW

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/B3MMSMFWCDF3A36GIAK5H3POIH \
  | 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: 0ed8c930b610cbb06fc64015d3edee41ece945b1f7cc9f2c7e0a13600df65242

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fc60be23324a783a2ac6bccfed4c25f49c599f403d914160acfe085bac0308fd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-03-02T10:00:42Z",
    "title_canon_sha256": "7f830a8b21232af3d54c390254ef89411b21c309a7b79c895ce1f143dbeb4ff2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.0369",
    "kind": "arxiv",
    "version": 1
  }
}