Pith Number

pith:XJRBZ3P6

pith:2017:XJRBZ3P6YW4CVHVT6XZ4ACUPUJ

not attested not anchored not stored refs pending

Partition-theoretic formulas for arithmetic densities

Ian Wagner, Ken Ono, Robert Schneider

arxiv:1704.06636 v2 · 2017-04-21 · 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{XJRBZ3P6YW4CVHVT6XZ4ACUPUJ}

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	2026-05-18T00:44:51.101551Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ba621cedfec5b82a9eb3f5f3c00a8fa2472f7a52ac22fce818af02526de00773

Aliases

arxiv: 1704.06636 · arxiv_version: 1704.06636v2 · doi: 10.48550/arxiv.1704.06636 · pith_short_12: XJRBZ3P6YW4C · pith_short_16: XJRBZ3P6YW4CVHVT · pith_short_8: XJRBZ3P6

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/XJRBZ3P6YW4CVHVT6XZ4ACUPUJ \
  | 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: ba621cedfec5b82a9eb3f5f3c00a8fa2472f7a52ac22fce818af02526de00773

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ad206924da1443cc8b953acb80e545e0a563334f0eea89b42d8b92d8b1f2665f",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-04-21T17:03:37Z",
    "title_canon_sha256": "fa8baf95e84893fe488f32b4b1aea4d444ebc73b8f7709490b7f7ce04fdabfc9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1704.06636",
    "kind": "arxiv",
    "version": 2
  }
}