Pith Number

pith:ULQWVGD4

pith:2018:ULQWVGD46LPUZMB6RETNZ2NKCK

not attested not anchored not stored refs pending

Distributions of weights and a question of Wilf

Michael Hellus, Rolf Waldi

arxiv:1804.06146 v2 · 2018-04-17 · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ULQWVGD46LPUZMB6RETNZ2NKCK}

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	2026-05-18T00:18:08.774189Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a2e16a987cf2df4cb03e8926dce9aa12a255da8945084d7318fd77aa58e5e6d5

Aliases

arxiv: 1804.06146 · arxiv_version: 1804.06146v2 · doi: 10.48550/arxiv.1804.06146 · pith_short_12: ULQWVGD46LPU · pith_short_16: ULQWVGD46LPUZMB6 · pith_short_8: ULQWVGD4

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/ULQWVGD46LPUZMB6RETNZ2NKCK \
  | 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: a2e16a987cf2df4cb03e8926dce9aa12a255da8945084d7318fd77aa58e5e6d5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "226ea5e5260d6a184a73a3c5a72cc41195a22ade01bf645b2506f10d3c66fd7f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2018-04-17T10:07:11Z",
    "title_canon_sha256": "8e76a1a08088eaf3322f5a47038c87a2a842128e3a5867b161b3abd81c7bb629"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.06146",
    "kind": "arxiv",
    "version": 2
  }
}