Pith Number

pith:OKT3QYSA

pith:2012:OKT3QYSAZVF337EIQYPRFRCVPU

not attested not anchored not stored refs pending

Combinatorial proofs of Infinite versions of the Hales-Jewett theorem

Nikolaos Karagiannis

arxiv:1211.1960 v1 · 2012-11-08 · 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{OKT3QYSAZVF337EIQYPRFRCVPU}

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	2026-05-18T03:41:13.142808Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

72a7b86240cd4bbdfc88861f12c4557d13cd2dedfaef47daa4a3e4dcc0cdac99

Aliases

arxiv: 1211.1960 · arxiv_version: 1211.1960v1 · doi: 10.48550/arxiv.1211.1960 · pith_short_12: OKT3QYSAZVF3 · pith_short_16: OKT3QYSAZVF337EI · pith_short_8: OKT3QYSA

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/OKT3QYSAZVF337EIQYPRFRCVPU \
  | 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: 72a7b86240cd4bbdfc88861f12c4557d13cd2dedfaef47daa4a3e4dcc0cdac99

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "47b844e4b4a41d6a178038aa90f620e8a4e4cbc26b0370c7239f95614b46261b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-11-08T20:07:43Z",
    "title_canon_sha256": "53c6df9ab0a83d4bc431b032ce3e6feaeb9c66cc2bb16e1cca24781ec31de34b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.1960",
    "kind": "arxiv",
    "version": 1
  }
}