Pith Number

pith:YPPOS3WT

pith:2010:YPPOS3WTNJKCTE4HL7RRPL3SE2

not attested not anchored not stored refs pending

Counting Berg partitions

Artur Siemaszko, Maciej P. Wojtkowski

arxiv:1007.3984 v1 · 2010-07-22 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YPPOS3WTNJKCTE4HL7RRPL3SE2}

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	2026-05-18T02:06:11.450871Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c3dee96ed36a542993875fe317af7226a45b6d695e7893599ed418e70861c9ea

Aliases

arxiv: 1007.3984 · arxiv_version: 1007.3984v1 · doi: 10.48550/arxiv.1007.3984 · pith_short_12: YPPOS3WTNJKC · pith_short_16: YPPOS3WTNJKCTE4H · pith_short_8: YPPOS3WT

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/YPPOS3WTNJKCTE4HL7RRPL3SE2 \
  | 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: c3dee96ed36a542993875fe317af7226a45b6d695e7893599ed418e70861c9ea

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5e25bd9c5de3092674cb17526eb78290020c866ba58a2062cde434b9e25bff58",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2010-07-22T19:51:07Z",
    "title_canon_sha256": "6275682860e93dd47bdeb387873d4ba83b0862838ecc1c15c997a0f6d03e51ce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1007.3984",
    "kind": "arxiv",
    "version": 1
  }
}