Pith Number

pith:B5OVO464

pith:2024:B5OVO464SXHB6JMVPQNM3MYG6E

not attested not anchored not stored refs pending

Spectral radius of graphs of given size with forbidden a fan graph $F_6$

Jing Gao, Xueliang Li

arxiv:2412.13792 v1 · 2024-12-18 · 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{B5OVO464SXHB6JMVPQNM3MYG6E}

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	2026-07-05T09:51:08.762216Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0f5d5773dc95ce1f25957c1acdb306f136aaf955957cc6f3fdaf68a7e6a1d232

Aliases

arxiv: 2412.13792 · arxiv_version: 2412.13792v1 · doi: 10.48550/arxiv.2412.13792 · pith_short_12: B5OVO464SXHB · pith_short_16: B5OVO464SXHB6JMV · pith_short_8: B5OVO464

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/B5OVO464SXHB6JMVPQNM3MYG6E \
  | 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: 0f5d5773dc95ce1f25957c1acdb306f136aaf955957cc6f3fdaf68a7e6a1d232

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aec6b842406f9c1e6222e8d54cfd3c32906c01f5f6b640967cadb45599ce2e61",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2024-12-18T12:34:42Z",
    "title_canon_sha256": "7e20d6e023b410d8649e66885541e35fe0c11595c08dddcc59baef1d39999860"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.13792",
    "kind": "arxiv",
    "version": 1
  }
}