Pith Number

pith:33U45SYH

pith:2012:33U45SYHOQJI6GQYZRFFTS6TDT

not attested not anchored not stored refs pending

Generalized higher order spt-functions

Ae Ja Yee, Atul Dixit

arxiv:1203.5848 v1 · 2012-03-27 · math.NT · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{33U45SYHOQJI6GQYZRFFTS6TDT}

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	2026-05-18T03:59:13.275046Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dee9cecb0774128f1a18cc4a59cbd31cdae9a35a63cc1b5d69030f91487a743b

Aliases

arxiv: 1203.5848 · arxiv_version: 1203.5848v1 · doi: 10.48550/arxiv.1203.5848 · pith_short_12: 33U45SYHOQJI · pith_short_16: 33U45SYHOQJI6GQY · pith_short_8: 33U45SYH

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/33U45SYHOQJI6GQYZRFFTS6TDT \
  | 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: dee9cecb0774128f1a18cc4a59cbd31cdae9a35a63cc1b5d69030f91487a743b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9ba8956f17560622595b9836393084853cffa326dc6f244f711bb34f1c15d1ec",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-03-27T00:49:28Z",
    "title_canon_sha256": "81771f5c365f8b5fcdfd385e126a1efe55912c64711b4d77c113b668cd2995d6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.5848",
    "kind": "arxiv",
    "version": 1
  }
}