Pith Number

pith:MZCYX4A7

pith:2012:MZCYX4A7RWHCC52ZEZW67FEDIQ

not attested not anchored not stored refs pending

A density version of the Carlson--Simpson theorem

Konstantinos Tyros, Pandelis Dodos, Vassilis Kanellopoulos

arxiv:1209.4985 v3 · 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{MZCYX4A7RWHCC52ZEZW67FEDIQ}

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	2026-05-18T01:32:42.118223Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

66458bf01f8d8e217759266def948344160a782abb41b2a9d5956ce648d82439

Aliases

arxiv: 1209.4985 · arxiv_version: 1209.4985v3 · doi: 10.48550/arxiv.1209.4985 · pith_short_12: MZCYX4A7RWHC · pith_short_16: MZCYX4A7RWHCC52Z · pith_short_8: MZCYX4A7

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/MZCYX4A7RWHCC52ZEZW67FEDIQ \
  | 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: 66458bf01f8d8e217759266def948344160a782abb41b2a9d5956ce648d82439

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "79c7936ad5f125dd6960f45963a84656399e53bbd3a4cf9d06a92bccdd6ea5a5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-09-22T11:34:41Z",
    "title_canon_sha256": "8d4e4639127d1b9097d30fc0b33d3f4009409cc56ca855bf7376584e2e5112f3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.4985",
    "kind": "arxiv",
    "version": 3
  }
}