Pith Number

pith:7HHYZYGI

pith:2024:7HHYZYGIDG2JZUMZUUB34NKRRH

not attested not anchored not stored refs pending

The number of edges in graphs with bounded clique number and circumference

Bo Ning, Chunyang Dou, Xing Peng

arxiv:2410.06449 v3 · 2024-10-09 · 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{7HHYZYGIDG2JZUMZUUB34NKRRH}

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.

Cited by

1 paper in Pith

Spectral extremal problems for degenerate graphs

Receipt and verification

First computed	2026-07-05T09:47:56.907986Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f9cf8ce0c819b49cd199a503be355189eaf0d1d917f3feb452588e42acf2a345

Aliases

arxiv: 2410.06449 · arxiv_version: 2410.06449v3 · doi: 10.48550/arxiv.2410.06449 · pith_short_12: 7HHYZYGIDG2J · pith_short_16: 7HHYZYGIDG2JZUMZ · pith_short_8: 7HHYZYGI

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/7HHYZYGIDG2JZUMZUUB34NKRRH \
  | 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: f9cf8ce0c819b49cd199a503be355189eaf0d1d917f3feb452588e42acf2a345

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9635cf2fbcfe1313e10c1a809314db2c361eac233a9cad81eac79b51c77eee44",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2024-10-09T01:13:35Z",
    "title_canon_sha256": "cea5c590dfdd8a472a60a1eb5e36c4c9b9ad979b4b2baffa50c8cc1bfdb96171"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2410.06449",
    "kind": "arxiv",
    "version": 3
  }
}