Pith Number

pith:5VD23DRN

pith:2013:5VD23DRND6POEVHPLE66TQEHSX

not attested not anchored not stored refs pending

On the structure of self-complementary graphs

Nicolas Trotignon

arxiv:1308.6139 v1 · 2013-08-28 · 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{5VD23DRND6POEVHPLE66TQEHSX}

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	2026-05-18T03:14:48.984925Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ed47ad8e2d1f9ee254ef593de9c08795d4f7b0e6818feaab4a280e0d0430b16d

Aliases

arxiv: 1308.6139 · arxiv_version: 1308.6139v1 · doi: 10.48550/arxiv.1308.6139 · pith_short_12: 5VD23DRND6PO · pith_short_16: 5VD23DRND6POEVHP · pith_short_8: 5VD23DRN

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/5VD23DRND6POEVHPLE66TQEHSX \
  | 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: ed47ad8e2d1f9ee254ef593de9c08795d4f7b0e6818feaab4a280e0d0430b16d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "92c05aff4ecb9722277f43fd4b4ee4013fc1ddf03676c92461d309a1a65ff987",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-08-28T12:04:52Z",
    "title_canon_sha256": "7f576b70f78138dd3512d36d020f7afc70473dbff6e797b3508ce63e4e231d14"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.6139",
    "kind": "arxiv",
    "version": 1
  }
}