Pith Number

pith:WD2DFYRS

pith:2012:WD2DFYRSIRYZSO42RF3USO544G

not attested not anchored not stored refs pending

Partitions with Distinct Multiplicities of Parts: On An "Unsolved Problem" Posed By Herbert Wilf

James Allen Fill, Mark Daniel Ward, Svante Janson

arxiv:1203.2670 v1 · 2012-03-12 · math.CO · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WD2DFYRSIRYZSO42RF3USO544G}

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	2026-05-18T04:00:15.002658Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b0f432e2324471993b9a8977493bbce1bc19499b916bb59e92d84c9513710d84

Aliases

arxiv: 1203.2670 · arxiv_version: 1203.2670v1 · doi: 10.48550/arxiv.1203.2670 · pith_short_12: WD2DFYRSIRYZ · pith_short_16: WD2DFYRSIRYZSO42 · pith_short_8: WD2DFYRS

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/WD2DFYRSIRYZSO42RF3USO544G \
  | 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: b0f432e2324471993b9a8977493bbce1bc19499b916bb59e92d84c9513710d84

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "787b42be1e512bf30ea69daa739abe3ec709384824711fa7870cc4c50995b9ba",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-03-12T22:56:46Z",
    "title_canon_sha256": "ae662bd303464856e6ca3f15f126fa01a458e4b1118969cb2f6ddeb09ca01e4f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.2670",
    "kind": "arxiv",
    "version": 1
  }
}