Pith Number

pith:Y5EGZ6YP

pith:2013:Y5EGZ6YPJ2F7G3PQLRHAUZCGK6

not attested not anchored not stored refs pending

Sidon Basis

Javier Cilleruelo

arxiv:1304.5351 v2 · 2013-04-19 · math.NT · 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{Y5EGZ6YPJ2F7G3PQLRHAUZCGK6}

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	2026-05-18T03:27:13.235722Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c7486cfb0f4e8bf36df05c4e0a644657b4ed999158b276c4a2d04e8be7cee35c

Aliases

arxiv: 1304.5351 · arxiv_version: 1304.5351v2 · doi: 10.48550/arxiv.1304.5351 · pith_short_12: Y5EGZ6YPJ2F7 · pith_short_16: Y5EGZ6YPJ2F7G3PQ · pith_short_8: Y5EGZ6YP

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/Y5EGZ6YPJ2F7G3PQLRHAUZCGK6 \
  | 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: c7486cfb0f4e8bf36df05c4e0a644657b4ed999158b276c4a2d04e8be7cee35c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8bf68eaf5f5c0b9aa9a8f5967fcb1547f2dd9af6eec5acef5d1e03f867d11473",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-04-19T09:11:49Z",
    "title_canon_sha256": "7cb1fab05e59952bf8ee953c7ffc9cf4433dff888b21379731199848f1f20f19"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.5351",
    "kind": "arxiv",
    "version": 2
  }
}