Pith Number

pith:OVLJDIRV

pith:2020:OVLJDIRVGDQCMEE3EQSWSPZAZW

not attested not anchored not stored refs pending

Non-bipartite k-common graphs

Daniel Kral, Fan Wei, Jan Volec, Jonathan A. Noel, Sergey Norin

arxiv:2006.09422 v7 · 2020-06-16 · 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{OVLJDIRVGDQCMEE3EQSWSPZAZW}

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	2026-07-05T08:58:38.390372Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

755691a23530e026109b2425693f20cdbe1534f5f2a9797a6777e6b4c4354503

Aliases

arxiv: 2006.09422 · arxiv_version: 2006.09422v7 · doi: 10.48550/arxiv.2006.09422 · pith_short_12: OVLJDIRVGDQC · pith_short_16: OVLJDIRVGDQCMEE3 · pith_short_8: OVLJDIRV

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/OVLJDIRVGDQCMEE3EQSWSPZAZW \
  | 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: 755691a23530e026109b2425693f20cdbe1534f5f2a9797a6777e6b4c4354503

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e736b60e4d0ff42296da358bdc2cc6ae330e0c3022d3599dac473975f83d30e6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2020-06-16T18:06:15Z",
    "title_canon_sha256": "a1ca004a338488b092c001959770d439bd05ec8436d4f808d7d539a130bb8c6d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2006.09422",
    "kind": "arxiv",
    "version": 7
  }
}