Pith Number

pith:INT4ZJOV

pith:2019:INT4ZJOVRSC76KK3HM2AY7A3MW

not attested not anchored not stored refs pending

Integral Factorial Ratios

K. Soundararajan

arxiv:1901.05133 v1 · 2019-01-16 · math.NT

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

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	2026-05-17T23:56:11.799696Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4367cca5d58c85ff295b3b340c7c1b6584389efedb9f2e44b1c1204a436ebc82

Aliases

arxiv: 1901.05133 · arxiv_version: 1901.05133v1 · doi: 10.48550/arxiv.1901.05133 · pith_short_12: INT4ZJOVRSC7 · pith_short_16: INT4ZJOVRSC76KK3 · pith_short_8: INT4ZJOV

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/INT4ZJOVRSC76KK3HM2AY7A3MW \
  | 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: 4367cca5d58c85ff295b3b340c7c1b6584389efedb9f2e44b1c1204a436ebc82

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5b022213d62b06336c84635dd53e2c6cf155a8589ad929b2fbbb38de9f73eb83",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2019-01-16T04:38:52Z",
    "title_canon_sha256": "67d07becb061de82672d7c63ecfd7000c8aacd0a879b8d2067c1c89aee69bb07"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.05133",
    "kind": "arxiv",
    "version": 1
  }
}