Pith Number

pith:NMZ5FXLD

pith:2014:NMZ5FXLDHZ6BGMS5QVOZT4LP63

not attested not anchored not stored refs pending

On some automorphism related parameters in graphs

Hira Benish, Imran Javaid, M. Murtaza, Usman Ali

arxiv:1411.4922 v2 · 2014-11-18 · 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{NMZ5FXLDHZ6BGMS5QVOZT4LP63}

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	2026-05-18T00:17:20.145128Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6b33d2dd633e7c13325d855d99f16ff6d8c626714640cf9c2efc5d6d9afe0220

Aliases

arxiv: 1411.4922 · arxiv_version: 1411.4922v2 · doi: 10.48550/arxiv.1411.4922 · pith_short_12: NMZ5FXLDHZ6B · pith_short_16: NMZ5FXLDHZ6BGMS5 · pith_short_8: NMZ5FXLD

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/NMZ5FXLDHZ6BGMS5QVOZT4LP63 \
  | 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: 6b33d2dd633e7c13325d855d99f16ff6d8c626714640cf9c2efc5d6d9afe0220

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "52af584e709a7b58f2f50138f07f0ed8dbfe8743a8796e8782de34975abdfc7a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-11-18T17:30:59Z",
    "title_canon_sha256": "cb3f490477f772d1a2ba1fbaa9b213925484078d8f1950adcdd1baaa988052e7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.4922",
    "kind": "arxiv",
    "version": 2
  }
}