Pith Number

pith:UVGFCR3S

pith:2013:UVGFCR3SSVJ3XZ44ZPV5YMYFL6

not attested not anchored not stored refs pending

Symbol ratio minimax sequences in the lexicographic order

Andr\'e de Carvalho, Philip Boyland, Toby Hall

arxiv:1301.0458 v3 · 2013-01-03 · math.DS · 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{UVGFCR3SSVJ3XZ44ZPV5YMYFL6}

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	2026-05-18T01:28:06.297524Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a54c5147729553bbe79ccbebdc33055f99ac6f2502b0352194a314466e19b0e1

Aliases

arxiv: 1301.0458 · arxiv_version: 1301.0458v3 · doi: 10.48550/arxiv.1301.0458 · pith_short_12: UVGFCR3SSVJ3 · pith_short_16: UVGFCR3SSVJ3XZ44 · pith_short_8: UVGFCR3S

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/UVGFCR3SSVJ3XZ44ZPV5YMYFL6 \
  | 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: a54c5147729553bbe79ccbebdc33055f99ac6f2502b0352194a314466e19b0e1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "67bd7d4fb48fc01fd6e423a730ecdccbe3ce46cf5327bf5b47da931b7a75dd0d",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2013-01-03T13:57:16Z",
    "title_canon_sha256": "0a7ec745641d3b47c840cc755b3700df30861a10a1a959d38078baa088a1eb11"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.0458",
    "kind": "arxiv",
    "version": 3
  }
}