Pith Number

pith:ASELE22L

pith:2012:ASELE22L7RMV4KG3BR7KHFRGTN

not attested not anchored not stored refs pending

A simple proof of the density Hales-Jewett theorem

Konstantinos Tyros, Pandelis Dodos, Vassilis Kanellopoulos

arxiv:1209.4986 v2 · 2012-09-22 · 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{ASELE22L7RMV4KG3BR7KHFRGTN}

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	2026-05-18T02:39:38.429212Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0488b26b4bfc595e28db0c7ea396269b407e3a7dcb5167dd190d6217c0c1c375

Aliases

arxiv: 1209.4986 · arxiv_version: 1209.4986v2 · doi: 10.48550/arxiv.1209.4986 · pith_short_12: ASELE22L7RMV · pith_short_16: ASELE22L7RMV4KG3 · pith_short_8: ASELE22L

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/ASELE22L7RMV4KG3BR7KHFRGTN \
  | 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: 0488b26b4bfc595e28db0c7ea396269b407e3a7dcb5167dd190d6217c0c1c375

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "77724797ecb56d85b952c41d9ae3186a4549a37ba8bbc8181d69a48c28bb3ff9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-09-22T11:37:18Z",
    "title_canon_sha256": "f0271994b279d68b6d7c0b019e5e885326fc171063270fa255283594207b6dbf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.4986",
    "kind": "arxiv",
    "version": 2
  }
}