Pith Number

pith:C57RVIMI

pith:2017:C57RVIMI2CKWAJKQCWMCWVD33G

not attested not anchored not stored refs pending

Counting factorisations of monomials over rings of integers modulo $N$

James Wright, Jonathan Hickman

arxiv:1711.05673 v1 · 2017-11-15 · math.NT · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{C57RVIMI2CKWAJKQCWMCWVD33G}

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	2026-05-18T00:30:29.245924Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

177f1aa188d09560255015982b547bd993b83b9f6920618ecbde731aa7d71d43

Aliases

arxiv: 1711.05673 · arxiv_version: 1711.05673v1 · doi: 10.48550/arxiv.1711.05673 · pith_short_12: C57RVIMI2CKW · pith_short_16: C57RVIMI2CKWAJKQ · pith_short_8: C57RVIMI

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/C57RVIMI2CKWAJKQCWMCWVD33G \
  | 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: 177f1aa188d09560255015982b547bd993b83b9f6920618ecbde731aa7d71d43

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2a4c1f057a3791fd00e987e71eab59f18716b1499cbb0e2befd95ba978163dc1",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-11-15T17:07:40Z",
    "title_canon_sha256": "67861ebb3781fcd1ba1c35b3d0a7f9b2c8b4a5373059364dd2df52ff3b89684a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.05673",
    "kind": "arxiv",
    "version": 1
  }
}