Pith Number

pith:RT7WMN75

pith:2018:RT7WMN75CJJDMAANI2XRQ3UDBR

not attested not anchored not stored refs pending

On Series Expansions of Capparelli's Infinite Product

Andrew V. Sills

arxiv:1812.04454 v1 · 2018-12-11 · 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{RT7WMN75CJJDMAANI2XRQ3UDBR}

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	2026-05-17T23:58:32.055606Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8cff6637fd125236000d46af186e830c48b2263d0756356547cca1320bcd54e7

Aliases

arxiv: 1812.04454 · arxiv_version: 1812.04454v1 · doi: 10.48550/arxiv.1812.04454 · pith_short_12: RT7WMN75CJJD · pith_short_16: RT7WMN75CJJDMAAN · pith_short_8: RT7WMN75

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/RT7WMN75CJJDMAANI2XRQ3UDBR \
  | 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: 8cff6637fd125236000d46af186e830c48b2263d0756356547cca1320bcd54e7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "02a1920cb66493e848efe31b0ceaa76b2bccb926a7044120b5e7f31677250023",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2018-12-11T15:11:49Z",
    "title_canon_sha256": "df95aa9fecd805ddd50bde84f8d757109b9586231b63f69921c2599dc7e266f3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.04454",
    "kind": "arxiv",
    "version": 1
  }
}