Pith Number

pith:VIN63GJ2

pith:2024:VIN63GJ2Q25IVMMZBRW3R33YH3

not attested not anchored not stored refs pending

The maximum index of signed complete graphs whose negative edges induce a bicyclic graph

Fan Chen, Xiying Yuan, Ziyi Fang

arxiv:2409.01923 v1 · 2024-09-03 · 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{VIN63GJ2Q25IVMMZBRW3R33YH3}

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	2026-07-05T09:02:36.072120Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aa1bed993a86ba8ab1990c6db8ef783ec52c4508a13ca75af7c24e5c1cfde966

Aliases

arxiv: 2409.01923 · arxiv_version: 2409.01923v1 · doi: 10.48550/arxiv.2409.01923 · pith_short_12: VIN63GJ2Q25I · pith_short_16: VIN63GJ2Q25IVMMZ · pith_short_8: VIN63GJ2

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/VIN63GJ2Q25IVMMZBRW3R33YH3 \
  | 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: aa1bed993a86ba8ab1990c6db8ef783ec52c4508a13ca75af7c24e5c1cfde966

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4f35c4122e4edb9a836d0ce34f61581872c7bd34a38bdb00def601b61f524789",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2024-09-03T14:13:12Z",
    "title_canon_sha256": "66394c08f57826d48b73d01f2401728e03b4279b385ea64cc1a1c9a966b5fdd5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2409.01923",
    "kind": "arxiv",
    "version": 1
  }
}