Pith Number

pith:XQA2DNT6

pith:2011:XQA2DNT6YZZX36HH3633PCWP2Y

not attested not anchored not stored refs pending

Integer compositions with part sizes not exceeding k

Martin E. Malandro

arxiv:1108.0337 v2 · 2011-08-01 · 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{XQA2DNT6YZZX36HH3633PCWP2Y}

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	2026-05-18T04:02:54.375160Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bc01a1b67ec6737df8e7dfb7b78acfd6337ce590cf34a3b4de31d3eb8c179625

Aliases

arxiv: 1108.0337 · arxiv_version: 1108.0337v2 · doi: 10.48550/arxiv.1108.0337 · pith_short_12: XQA2DNT6YZZX · pith_short_16: XQA2DNT6YZZX36HH · pith_short_8: XQA2DNT6

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/XQA2DNT6YZZX36HH3633PCWP2Y \
  | 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: bc01a1b67ec6737df8e7dfb7b78acfd6337ce590cf34a3b4de31d3eb8c179625

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d4d8d7d10182cc6d6a6fdb1ed0fb58c929dd9c1f10aaebe7997fb60bee9ec655",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-08-01T15:22:39Z",
    "title_canon_sha256": "561c3caf5d767ddb13915262f88cdb7edef9a3eaaf128fea53e6c115799a2a39"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.0337",
    "kind": "arxiv",
    "version": 2
  }
}