Pith Number

pith:JTUCKCCV

pith:2013:JTUCKCCVJDVLO4A6Y25P4K64FO

not attested not anchored not stored refs pending

Combinatorial Structures on van der Waerden sets

Konstantinos Tyros

arxiv:1301.4297 v2 · 2013-01-18 · 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{JTUCKCCVJDVLO4A6Y25P4K64FO}

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	2026-05-18T01:31:46.874550Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4ce825085548eab7701ec6bafe2bdc2ba9f6b6ea4da33aab5a46d1d167c96b7c

Aliases

arxiv: 1301.4297 · arxiv_version: 1301.4297v2 · doi: 10.48550/arxiv.1301.4297 · pith_short_12: JTUCKCCVJDVL · pith_short_16: JTUCKCCVJDVLO4A6 · pith_short_8: JTUCKCCV

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/JTUCKCCVJDVLO4A6Y25P4K64FO \
  | 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: 4ce825085548eab7701ec6bafe2bdc2ba9f6b6ea4da33aab5a46d1d167c96b7c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5c9edf80125b650d1391cdd20b0f183af3fb015f1fdc6e87cfb3aeedbf025831",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-01-18T05:05:14Z",
    "title_canon_sha256": "9f6dbc8a339969ecf233e7605a41621f17bd990d671c08393b48375fc37b0eec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.4297",
    "kind": "arxiv",
    "version": 2
  }
}