Pith Number

pith:FZAHRAN7

pith:2024:FZAHRAN7IFH3QKMUY7H45AIY4V

not attested not anchored not stored refs pending

Colouring signed analogues of Kneser, Schrijver, and Borsuk graphs

Huan Zhou, Luis Kuffner, Lujia Wang, Reza Naserasr, Xiaowei Yu, Xuding Zhu

arxiv:2412.20001 v3 · 2024-12-28 · 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{FZAHRAN7IFH3QKMUY7H45AIY4V}

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	2026-07-05T12:07:02.691831Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2e407881bf414fb82994c7cfce8118e55830b7fe4b9a446a860ac3f290f25589

Aliases

arxiv: 2412.20001 · arxiv_version: 2412.20001v3 · doi: 10.48550/arxiv.2412.20001 · pith_short_12: FZAHRAN7IFH3 · pith_short_16: FZAHRAN7IFH3QKMU · pith_short_8: FZAHRAN7

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/FZAHRAN7IFH3QKMUY7H45AIY4V \
  | 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: 2e407881bf414fb82994c7cfce8118e55830b7fe4b9a446a860ac3f290f25589

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a204bf02098a8d71dbdb8de86c200df0f27606dec28a739cd13d7e54fd46bea7",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2024-12-28T03:57:07Z",
    "title_canon_sha256": "75033424b865399b8d26830c22ea4e912ad799df27ade47895740565100a631a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.20001",
    "kind": "arxiv",
    "version": 3
  }
}