Pith Number

pith:PZSS4ULT

pith:2014:PZSS4ULTE5VZ4WNN5GB7IHC5LM

not attested not anchored not stored refs pending

How Do You Measure Primality?

Christopher O'Neill, Roberto Pelayo

arxiv:1405.1714 v3 · 2014-05-07 · math.AC

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PZSS4ULTE5VZ4WNN5GB7IHC5LM}

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	2026-05-18T00:08:16.522733Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7e652e5173276b9e59ade983f41c5d5b2a06b01e6dce4e3a819090267992f059

Aliases

arxiv: 1405.1714 · arxiv_version: 1405.1714v3 · doi: 10.48550/arxiv.1405.1714 · pith_short_12: PZSS4ULTE5VZ · pith_short_16: PZSS4ULTE5VZ4WNN · pith_short_8: PZSS4ULT

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/PZSS4ULTE5VZ4WNN5GB7IHC5LM \
  | 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: 7e652e5173276b9e59ade983f41c5d5b2a06b01e6dce4e3a819090267992f059

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b8d03d32461a61c30059af9ad912d643cdeab92a4ec81c044a3aa2bc97b5534d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2014-05-07T19:32:16Z",
    "title_canon_sha256": "f2fbecca63b35914d2e2a3346424eb18dae95b1011e69d0e6015e9b5794279f4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.1714",
    "kind": "arxiv",
    "version": 3
  }
}