Pith Number

pith:VU425BG2

pith:2019:VU425BG2Y5X7NTYZSJBDLGI2WK

not attested not anchored not stored refs pending

On a new formula for the number of unrestricted partitions

Hemar Godinho, Jos\'e Pl\'inio O. Santos

arxiv:1906.11093 v1 · 2019-06-26 · 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{VU425BG2Y5X7NTYZSJBDLGI2WK}

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	2026-05-17T23:42:09.868186Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ad39ae84dac76ff6cf19924235991ab29b029f3f97f20f09d819a5277f26b0ea

Aliases

arxiv: 1906.11093 · arxiv_version: 1906.11093v1 · doi: 10.48550/arxiv.1906.11093 · pith_short_12: VU425BG2Y5X7 · pith_short_16: VU425BG2Y5X7NTYZ · pith_short_8: VU425BG2

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/VU425BG2Y5X7NTYZSJBDLGI2WK \
  | 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: ad39ae84dac76ff6cf19924235991ab29b029f3f97f20f09d819a5277f26b0ea

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "63ded2ab77dbb1923ae3f282b12a547b87466cb4cbef3b1aaa0c1624d6b83eed",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-06-26T13:41:18Z",
    "title_canon_sha256": "3b2fcc730e42004df4b9f8616613d4d17524e021af638bd5ea916b3c1e16ae27"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.11093",
    "kind": "arxiv",
    "version": 1
  }
}