Pith Number

pith:J2X4GFLC

pith:2016:J2X4GFLCBQDO43QSYNSBRDPJRF

not attested not anchored not stored refs pending

Monochromatic paths for the integers

Imre Z. Ruzsa, Jo\~ao Guerreiro, Manuel Silva

arxiv:1606.00418 v1 · 2016-06-01 · 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{J2X4GFLCBQDO43QSYNSBRDPJRF}

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	2026-05-18T01:11:17.158463Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4eafc315620c06ee6e12c364188de989776f30584b825b97b8fba933c113a310

Aliases

arxiv: 1606.00418 · arxiv_version: 1606.00418v1 · doi: 10.48550/arxiv.1606.00418 · pith_short_12: J2X4GFLCBQDO · pith_short_16: J2X4GFLCBQDO43QS · pith_short_8: J2X4GFLC

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/J2X4GFLCBQDO43QSYNSBRDPJRF \
  | 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: 4eafc315620c06ee6e12c364188de989776f30584b825b97b8fba933c113a310

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a5b2a4411a19f37043ca68208041b5675b52a4930d66d96e4cb8f8b4fed91597",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-06-01T19:40:50Z",
    "title_canon_sha256": "dfc6a3a378c58d45175e47f57a77bcbb4ef4635cba5e1fb815fefe4698963a0c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.00418",
    "kind": "arxiv",
    "version": 1
  }
}