Pith Number

pith:7FOPFAVV

pith:2015:7FOPFAVVKVAZFST2P2MJH36TXT

not attested not anchored not stored refs pending

Permanent index of matrices associated with graphs

Tsai-Lien Wong, Xuding Zhu

arxiv:1510.00810 v1 · 2015-10-03 · 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{7FOPFAVVKVAZFST2P2MJH36TXT}

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	2026-05-18T01:31:05.602892Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f95cf282b5554192ca7a7e9893efd3bcf8aac1d06f0d593fcf9c75d098ee234e

Aliases

arxiv: 1510.00810 · arxiv_version: 1510.00810v1 · doi: 10.48550/arxiv.1510.00810 · pith_short_12: 7FOPFAVVKVAZ · pith_short_16: 7FOPFAVVKVAZFST2 · pith_short_8: 7FOPFAVV

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/7FOPFAVVKVAZFST2P2MJH36TXT \
  | 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: f95cf282b5554192ca7a7e9893efd3bcf8aac1d06f0d593fcf9c75d098ee234e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2651319cb6f41025ceb04aa15ad0dcc1beb772b1c5fdf183d2a0aa5b010539cb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-10-03T12:19:40Z",
    "title_canon_sha256": "dee3de26c22326dd4b0241cbfaf7bdebb3d8922bbe1104904a4c4ef9d73a6dc8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.00810",
    "kind": "arxiv",
    "version": 1
  }
}