Pith Number

pith:BCIV7QOP

pith:2010:BCIV7QOPEOUQADFS3KJXSL4OSU

not attested not anchored not stored refs pending

On the growth of restricted integer partition functions

E. Rodney Canfield, Herbert S. Wilf

arxiv:1009.4404 v1 · 2010-09-22 · 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{BCIV7QOPEOUQADFS3KJXSL4OSU}

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	2026-05-18T04:40:33.196754Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

08915fc1cf23a9000cb2da93792f8e953e1e04bab4828f9ef4149f1159e7fbeb

Aliases

arxiv: 1009.4404 · arxiv_version: 1009.4404v1 · doi: 10.48550/arxiv.1009.4404 · pith_short_12: BCIV7QOPEOUQ · pith_short_16: BCIV7QOPEOUQADFS · pith_short_8: BCIV7QOP

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/BCIV7QOPEOUQADFS3KJXSL4OSU \
  | 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: 08915fc1cf23a9000cb2da93792f8e953e1e04bab4828f9ef4149f1159e7fbeb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4f3813a1b4a212ae67233d6f261bf4e62df9d8d07d40fac87c18ea28dab5d305",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2010-09-22T16:07:58Z",
    "title_canon_sha256": "3f5e7b2686cfc5df3b44958171a68fff378e6982187db3ce4df6fef2683991d1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.4404",
    "kind": "arxiv",
    "version": 1
  }
}