Pith Number

pith:UV25TH4J

pith:2011:UV25TH4JR2UZBYYPVQ7O76QXG6

not attested not anchored not stored refs pending

A counterexample to conjecture 18.5 in "Geometric Etudes in Combinatorial Mathematics", second edition

Tobias Muller

arxiv:1201.0254 v1 · 2011-12-31 · 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{UV25TH4JR2UZBYYPVQ7O76QXG6}

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	2026-05-18T04:05:25.657201Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a575d99f898ea990e30fac3eeffa1737b6a1b1e6919155dc81a022ab7540935d

Aliases

arxiv: 1201.0254 · arxiv_version: 1201.0254v1 · doi: 10.48550/arxiv.1201.0254 · pith_short_12: UV25TH4JR2UZ · pith_short_16: UV25TH4JR2UZBYYP · pith_short_8: UV25TH4J

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/UV25TH4JR2UZBYYPVQ7O76QXG6 \
  | 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: a575d99f898ea990e30fac3eeffa1737b6a1b1e6919155dc81a022ab7540935d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "57935392e2e8d59f598d8ffbb02cdd81032ab9e37827fa92274206f2feab92c5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-12-31T13:04:52Z",
    "title_canon_sha256": "97778177d3bda606c4a249c57726c9f0a81a54df0004d25f4e7e6c350a0aa37c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.0254",
    "kind": "arxiv",
    "version": 1
  }
}