Pith Number

pith:L6WHYJ2Z

pith:2006:L6WHYJ2ZMXTZTHSPHML76EOCPC

not attested not anchored not stored refs pending

Fourier meets M\"{o}bius: fast subset convolution

Andreas Bj\"orklund, Mikko Koivisto, Petteri Kaski, Thore Husfeldt

arxiv:cs/0611101 v1 · 2006-11-21 · cs.DS · cs.DM · 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{L6WHYJ2ZMXTZTHSPHML76EOCPC}

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	2026-05-18T01:08:54.242057Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5fac7c275965e7999e4f3b17ff11c278b0e2fb34fda0aced6231ada88fb72333

Aliases

arxiv: cs/0611101 · arxiv_version: cs/0611101v1 · doi: 10.48550/arxiv.cs/0611101 · pith_short_12: L6WHYJ2ZMXTZ · pith_short_16: L6WHYJ2ZMXTZTHSP · pith_short_8: L6WHYJ2Z

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/L6WHYJ2ZMXTZTHSPHML76EOCPC \
  | 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: 5fac7c275965e7999e4f3b17ff11c278b0e2fb34fda0aced6231ada88fb72333

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b3d54d4f738aece6e00ac85c1fa5e12977a12801e1552a0daefa33335fc826f8",
    "cross_cats_sorted": [
      "cs.DM",
      "math.CO"
    ],
    "license": "",
    "primary_cat": "cs.DS",
    "submitted_at": "2006-11-21T08:34:30Z",
    "title_canon_sha256": "49c397c74aefac9f0914ac818d7e065ac032ec27b3a59940015e35ebb4f598d1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "cs/0611101",
    "kind": "arxiv",
    "version": 1
  }
}