Pith Number

pith:HFUQGXSH

pith:2019:HFUQGXSHEOAIIBB3QRQAK5P2I3

not attested not anchored not stored refs pending

The Alon-Tarsi number of subgraphs of a planar graph

Ringi Kim, Seog-Jin Kim, Xuding Zhu

arxiv:1906.01506 v1 · 2019-06-04 · 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{HFUQGXSHEOAIIBB3QRQAK5P2I3}

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	2026-05-17T23:44:16.337102Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3969035e47238084043b84600575fa46cef7eebd24dea0b908be5f721bff1577

Aliases

arxiv: 1906.01506 · arxiv_version: 1906.01506v1 · doi: 10.48550/arxiv.1906.01506 · pith_short_12: HFUQGXSHEOAI · pith_short_16: HFUQGXSHEOAIIBB3 · pith_short_8: HFUQGXSH

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/HFUQGXSHEOAIIBB3QRQAK5P2I3 \
  | 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: 3969035e47238084043b84600575fa46cef7eebd24dea0b908be5f721bff1577

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "595394783e94cfff65b27c1b80825ac9411fb39e52e77b7b0d1d6f3dd522fa09",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-06-04T15:14:59Z",
    "title_canon_sha256": "122ed6a2bd86b26bb13c2ed8e6a1fb7620701e92e06019150c94a9af1f12bdc9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.01506",
    "kind": "arxiv",
    "version": 1
  }
}