Pith Number

pith:QA4ELQBH

pith:2013:QA4ELQBH4G3WC72TAPGKW57MOY

not attested not anchored not stored refs pending

Hindman's Coloring Theorem in arbitrary semigroups

Boaz Tsaban, Gili Golan

arxiv:1303.3600 v2 · 2013-03-14 · math.CO · math.GR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QA4ELQBH4G3WC72TAPGKW57MOY}

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	2026-05-18T03:13:33.841633Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

803845c027e1b7617f5303ccab77ec7638933fc9d8b3f09a258582cebb9e1aef

Aliases

arxiv: 1303.3600 · arxiv_version: 1303.3600v2 · doi: 10.48550/arxiv.1303.3600 · pith_short_12: QA4ELQBH4G3W · pith_short_16: QA4ELQBH4G3WC72T · pith_short_8: QA4ELQBH

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/QA4ELQBH4G3WC72TAPGKW57MOY \
  | 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: 803845c027e1b7617f5303ccab77ec7638933fc9d8b3f09a258582cebb9e1aef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f400a4dea9eb9592c56cba932fb56a89b12c3b16b70f2512ab899f281fecb374",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-03-14T20:44:41Z",
    "title_canon_sha256": "f3a5e4873a86b34fc4f2a060596ec18685ce3758d9c8521c05c256bf8b493012"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.3600",
    "kind": "arxiv",
    "version": 2
  }
}