Pith Number

pith:GJ2457HS

pith:2012:GJ2457HSDLZMIYAITELC5LESKJ

not attested not anchored not stored refs pending

On Order and Rank of Graphs

A. Mohammadian, B. Tayfeh-Rezaie, E. Ghorbani

arxiv:1201.3060 v2 · 2012-01-15 · math.CO · cs.IT · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GJ2457HSDLZMIYAITELC5LESKJ}

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	2026-05-18T02:53:15.719775Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3275cefcf21af2c4600899162eac92524805f3197c5319d34a5c8b81e405d716

Aliases

arxiv: 1201.3060 · arxiv_version: 1201.3060v2 · doi: 10.48550/arxiv.1201.3060 · pith_short_12: GJ2457HSDLZM · pith_short_16: GJ2457HSDLZMIYAI · pith_short_8: GJ2457HS

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/GJ2457HSDLZMIYAITELC5LESKJ \
  | 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: 3275cefcf21af2c4600899162eac92524805f3197c5319d34a5c8b81e405d716

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f2afb656456493fb62430477ebd3fc89f08037c645339685442061fb4451031a",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-01-15T06:02:30Z",
    "title_canon_sha256": "5f00cd0cdd5cd6f8ebdc2b6c535632ce067834da48e26955e16c614024af6322"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.3060",
    "kind": "arxiv",
    "version": 2
  }
}