Pith Number

pith:2ZMQEWVT

pith:2013:2ZMQEWVTQDSF3RJOKFY7EDECSF

not attested not anchored not stored refs pending

Perfect graphs: a survey

Nicolas Trotignon

arxiv:1301.5149 v7 · 2013-01-22 · math.CO · cs.DM

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2ZMQEWVTQDSF3RJOKFY7EDECSF}

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	2026-05-18T02:03:53.072059Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d659025ab380e45dc52e5171f20c82916ac46e6b66acf8d8c8610667df30fdfc

Aliases

arxiv: 1301.5149 · arxiv_version: 1301.5149v7 · doi: 10.48550/arxiv.1301.5149 · pith_short_12: 2ZMQEWVTQDSF · pith_short_16: 2ZMQEWVTQDSF3RJO · pith_short_8: 2ZMQEWVT

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/2ZMQEWVTQDSF3RJOKFY7EDECSF \
  | 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: d659025ab380e45dc52e5171f20c82916ac46e6b66acf8d8c8610667df30fdfc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a4ca15385b53f468ed06a65c6ad2e338bee509c705c7e3e34a506b6c4d2ed61d",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-01-22T11:22:14Z",
    "title_canon_sha256": "bac23173fd2ba98915a120a6f591d6cf2e727e40a17b584f3cb7943e2668a4b2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.5149",
    "kind": "arxiv",
    "version": 7
  }
}