Pith Number

pith:U4H6HPEI

pith:2018:U4H6HPEII6FVEK2PYDSUUZXQ5I

not attested not anchored not stored refs pending

The Alon-Tarsi number of a planar graph minus a matching

Jaros{\l}aw Grytczuk, Xuding Zhu

arxiv:1811.12012 v1 · 2018-11-29 · 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{U4H6HPEII6FVEK2PYDSUUZXQ5I}

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	2026-05-17T23:59:34.708625Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a70fe3bc88478b522b4fc0e54a66f0ea2f8aa80a9763a061afb6fffeb8e726eb

Aliases

arxiv: 1811.12012 · arxiv_version: 1811.12012v1 · doi: 10.48550/arxiv.1811.12012 · pith_short_12: U4H6HPEII6FV · pith_short_16: U4H6HPEII6FVEK2P · pith_short_8: U4H6HPEI

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/U4H6HPEII6FVEK2PYDSUUZXQ5I \
  | 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: a70fe3bc88478b522b4fc0e54a66f0ea2f8aa80a9763a061afb6fffeb8e726eb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "72ac490a3f0579b01c978f0b8d9936dfa03e53198ceb2bfaa93a841df7257eb8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-11-29T08:33:06Z",
    "title_canon_sha256": "79c7030436ae0ba72d89e22077c9227c452e784efc9fff0475c821392a8a8f68"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.12012",
    "kind": "arxiv",
    "version": 1
  }
}