Pith Number

pith:6N4PUOB3

pith:2012:6N4PUOB37LXZHZLI2ZBOEIFFJJ

not attested not anchored not stored refs pending

The total irregularity of a graph

Darko Dimitrov, Hosam Abdo

arxiv:1207.5267 v1 · 2012-07-22 · cs.DM · 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{6N4PUOB37LXZHZLI2ZBOEIFFJJ}

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	2026-05-18T02:21:08.096333Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f378fa383bfaef93e568d642e220a54a6c64194f5a902a4bed63657ff6fbebaa

Aliases

arxiv: 1207.5267 · arxiv_version: 1207.5267v1 · doi: 10.48550/arxiv.1207.5267 · pith_short_12: 6N4PUOB37LXZ · pith_short_16: 6N4PUOB37LXZHZLI · pith_short_8: 6N4PUOB3

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/6N4PUOB37LXZHZLI2ZBOEIFFJJ \
  | 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: f378fa383bfaef93e568d642e220a54a6c64194f5a902a4bed63657ff6fbebaa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7a41ed5a894c9ebe75024a630fa95a496fcf6b5d8f0e0a3ecd22e3396ea7e993",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2012-07-22T23:27:20Z",
    "title_canon_sha256": "d59defa3857bb372be064e0eb39eb1dddb07304089b5d165dfec9910acb0044b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.5267",
    "kind": "arxiv",
    "version": 1
  }
}