Pith Number

pith:XYT7M62U

pith:2011:XYT7M62UB2OAKCFXXFVLMYHZW5

not attested not anchored not stored refs pending

Every triangle-free induced subgraph of the triangular lattice is $(5m,2m)$-choosable

IMATH), Jean-Christophe Godin (IMATH), Olivier Togni (Le2i), Yves Aubry (IML

arxiv:1110.2650 v1 · 2011-10-12 · 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{XYT7M62UB2OAKCFXXFVLMYHZW5}

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	2026-05-18T04:11:07.838607Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

be27f67b540e9c0508b7b96ab660f9b76a41a0a609ec91d02f7337e1b07c0468

Aliases

arxiv: 1110.2650 · arxiv_version: 1110.2650v1 · doi: 10.48550/arxiv.1110.2650 · pith_short_12: XYT7M62UB2OA · pith_short_16: XYT7M62UB2OAKCFX · pith_short_8: XYT7M62U

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/XYT7M62UB2OAKCFXXFVLMYHZW5 \
  | 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: be27f67b540e9c0508b7b96ab660f9b76a41a0a609ec91d02f7337e1b07c0468

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7ebf2464978846e3038404b885dacfbaf58fe8a4704cf485a547bd47b6e677aa",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-10-12T13:11:34Z",
    "title_canon_sha256": "f14a9854634ffa486927b8abed2c02b77cb012ebcf93a90a50ee963e42126651"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.2650",
    "kind": "arxiv",
    "version": 1
  }
}