Pith Number

pith:KDW7DGXP

pith:2018:KDW7DGXPQ35YKZ44VU6FJW2JZU

not attested not anchored not stored refs pending

Two Questions about the Fractional Counting of Partitions

Doron Zeilberger, Noam Zeilberger

arxiv:1810.12701 v2 · 2018-10-30 · math.CO · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KDW7DGXPQ35YKZ44VU6FJW2JZU}

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	2026-05-18T00:01:14.495941Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

50edf19aef86fb85679cad3c54db49cd254adf70635c3596c6507f2574ecde7c

Aliases

arxiv: 1810.12701 · arxiv_version: 1810.12701v2 · doi: 10.48550/arxiv.1810.12701 · pith_short_12: KDW7DGXPQ35Y · pith_short_16: KDW7DGXPQ35YKZ44 · pith_short_8: KDW7DGXP

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/KDW7DGXPQ35YKZ44VU6FJW2JZU \
  | 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: 50edf19aef86fb85679cad3c54db49cd254adf70635c3596c6507f2574ecde7c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a0f72d52fb33c24b2b5857b57bcb7bb1503510a1d069edd0d749bee77e3c5822",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-10-30T12:30:29Z",
    "title_canon_sha256": "5a5bcf8769202bc29f7e76234dede015c37072ebb0b62f374c0ab56ae86eabc1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.12701",
    "kind": "arxiv",
    "version": 2
  }
}