Pith Number

pith:7TO7FILX

pith:2023:7TO7FILXOBDLPIEVIFS5KUYSYW

not attested not anchored not stored refs pending

The Alon-Tarsi number of $K_{3,3}$-minor-free graphs

Bo Zhou, Leyou Xu

arxiv:2310.07445 v2 · 2023-10-11 · 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{7TO7FILXOBDLPIEVIFS5KUYSYW}

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	2026-07-05T07:01:06.926350Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fcddf2a1777046b7a0954165d55312c5a4db08836ff2b1da9a7bf27ac7d8e706

Aliases

arxiv: 2310.07445 · arxiv_version: 2310.07445v2 · doi: 10.48550/arxiv.2310.07445 · pith_short_12: 7TO7FILXOBDL · pith_short_16: 7TO7FILXOBDLPIEV · pith_short_8: 7TO7FILX

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/7TO7FILXOBDLPIEVIFS5KUYSYW \
  | 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: fcddf2a1777046b7a0954165d55312c5a4db08836ff2b1da9a7bf27ac7d8e706

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "158d65d468d37a960f036894b7deb24ebbb19a02e26528bba6207788e76bb8a8",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2023-10-11T12:48:32Z",
    "title_canon_sha256": "af93bde5da726a98d26ac6fc564b5c7f5fadc37c98af93ff2ac2bc3496753ffb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2310.07445",
    "kind": "arxiv",
    "version": 2
  }
}