Pith Number

pith:N2HGPO4J

pith:2018:N2HGPO4JYTHC7XHUL55H7NPSIN

not attested not anchored not stored refs pending

Alon-Tarsi number of signed planar graphs

Jianguo Qian, Wei Wang

arxiv:1809.02907 v1 · 2018-09-09 · 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{N2HGPO4JYTHC7XHUL55H7NPSIN}

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	2026-05-18T00:06:10.699180Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6e8e67bb89c4ce2fdcf45f7a7fb5f24354f799e15158da45198e3cbf8e2afe51

Aliases

arxiv: 1809.02907 · arxiv_version: 1809.02907v1 · doi: 10.48550/arxiv.1809.02907 · pith_short_12: N2HGPO4JYTHC · pith_short_16: N2HGPO4JYTHC7XHU · pith_short_8: N2HGPO4J

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/N2HGPO4JYTHC7XHUL55H7NPSIN \
  | 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: 6e8e67bb89c4ce2fdcf45f7a7fb5f24354f799e15158da45198e3cbf8e2afe51

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8ad414b91c6c430dba7e385a338ac9dc94d5be08e55c5da320cbbb940bcadc18",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-09-09T01:17:52Z",
    "title_canon_sha256": "daecb01b6d4bf50ad28cf5614ba1aaa9106a99c7cba1892b81c15a4a04428091"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.02907",
    "kind": "arxiv",
    "version": 1
  }
}