Pith Number

pith:YAPXLQKX

pith:2013:YAPXLQKXNR7JSLAGS2HCWKVI3E

not attested not anchored not stored refs pending

An asymptotically tight bound on the Q-index of graphs with forbidden cycles

V. Nikiforov

arxiv:1310.1430 v2 · 2013-10-05 · 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{YAPXLQKXNR7JSLAGS2HCWKVI3E}

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	2026-05-18T02:57:52.538766Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c01f75c1576c7e992c06968e2b2aa8d916069eb82e3ca160c550669b7a04eae0

Aliases

arxiv: 1310.1430 · arxiv_version: 1310.1430v2 · doi: 10.48550/arxiv.1310.1430 · pith_short_12: YAPXLQKXNR7J · pith_short_16: YAPXLQKXNR7JSLAG · pith_short_8: YAPXLQKX

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/YAPXLQKXNR7JSLAGS2HCWKVI3E \
  | 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: c01f75c1576c7e992c06968e2b2aa8d916069eb82e3ca160c550669b7a04eae0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ab16b24a942d7e375c56a7a0a802fdc4a6ded6bd9273192098401d80ba22da51",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-10-05T02:37:23Z",
    "title_canon_sha256": "60c9c3dd849aa380797242c863431cbcd78bf36d23de5b92065b3403027412f8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.1430",
    "kind": "arxiv",
    "version": 2
  }
}