Pith Number

pith:OE74PCIL

pith:2016:OE74PCILJI33VI5QCCMV4OPO5Q

not attested not anchored not stored refs pending

The structure and the number of $P_7$-free bipartite graphs

Vadim Lozin, Viktor Zamaraev

arxiv:1607.08782 v1 · 2016-07-29 · 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{OE74PCILJI33VI5QCCMV4OPO5Q}

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	2026-05-18T01:10:15.906379Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

713fc7890b4a37baa3b010995e39eeec27ee9801d8e2debdf2932f27877292c2

Aliases

arxiv: 1607.08782 · arxiv_version: 1607.08782v1 · doi: 10.48550/arxiv.1607.08782 · pith_short_12: OE74PCILJI33 · pith_short_16: OE74PCILJI33VI5Q · pith_short_8: OE74PCIL

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/OE74PCILJI33VI5QCCMV4OPO5Q \
  | 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: 713fc7890b4a37baa3b010995e39eeec27ee9801d8e2debdf2932f27877292c2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0765b9c92e3decd3f1f65d4bd082908451ebb05f665f4fd6b6f1a2ee2d31d092",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-07-29T12:29:22Z",
    "title_canon_sha256": "c5cd673c4a7f8ea75bde660416609ae94e953a2127447a7beace49e879ff673d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.08782",
    "kind": "arxiv",
    "version": 1
  }
}