Pith Number

pith:XBLD2TRR

pith:2013:XBLD2TRRXBQAFL4OBSVACRFN5U

not attested not anchored not stored refs pending

New measures of graph irregularity

Clive Elphick, Pawel Wocjan

arxiv:1305.3570 v7 · 2013-05-15 · 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{XBLD2TRRXBQAFL4OBSVACRFN5U}

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	2026-05-18T02:38:44.609066Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b8563d4e31b86002af8e0caa0144aded037f21539c80df2e773bbbf0ddb7a6b5

Aliases

arxiv: 1305.3570 · arxiv_version: 1305.3570v7 · doi: 10.48550/arxiv.1305.3570 · pith_short_12: XBLD2TRRXBQA · pith_short_16: XBLD2TRRXBQAFL4O · pith_short_8: XBLD2TRR

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/XBLD2TRRXBQAFL4OBSVACRFN5U \
  | 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: b8563d4e31b86002af8e0caa0144aded037f21539c80df2e773bbbf0ddb7a6b5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "18327af10dbc8cbf6e1d23df839d2f5ce23ca6f95b46247f22da21d19570fb24",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-05-15T18:07:44Z",
    "title_canon_sha256": "a3f997a0070453d3403cb1790f6fe685f65f19c3a14936761e27f2d3a713e1b9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.3570",
    "kind": "arxiv",
    "version": 7
  }
}