Pith Number

pith:I42FDM6P

pith:2009:I42FDM6PUXVA2HACPM2CF4YWCU

not attested not anchored not stored refs pending

The distribution of longest run lengths in integer compositions

Herbert S. Wilf

arxiv:0906.5196 v1 · 2009-06-29 · 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{I42FDM6PUXVA2HACPM2CF4YWCU}

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	2026-07-04T15:45:16.779804Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

473451b3cfa5ea0d1c027b3422f3161503515cd332a6800f1c1e0a46187fe462

Aliases

arxiv: 0906.5196 · arxiv_version: 0906.5196v1 · doi: 10.48550/arxiv.0906.5196 · pith_short_12: I42FDM6PUXVA · pith_short_16: I42FDM6PUXVA2HAC · pith_short_8: I42FDM6P

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/I42FDM6PUXVA2HACPM2CF4YWCU \
  | 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: 473451b3cfa5ea0d1c027b3422f3161503515cd332a6800f1c1e0a46187fe462

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "850d0311396d165af1a09e7fe93dd2887061e8f79331d0c46544795458b17cce",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2009-06-29T02:47:16Z",
    "title_canon_sha256": "8e77a6bdd15587174724fec31792c0137f083aec5087323a341d119a98c84877"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0906.5196",
    "kind": "arxiv",
    "version": 1
  }
}