Pith Number

pith:FIUPCKCS

pith:2009:FIUPCKCS5Z3XTBVONLEPBYYPRZ

not attested not anchored not stored refs pending

State reconstruction formulas for the s-distributions and quadratures

Juha-Pekka Pellonp\"a\"a, Jukka Kiukas, Jussi Schultz

arxiv:0909.3416 v1 · 2009-09-18 · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FIUPCKCS5Z3XTBVONLEPBYYPRZ}

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	2026-05-18T04:39:16.822200Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2a28f12852ee777986ae6ac8f0e30f8e748e0067e9cec5f1c135ea2b82c5c54b

Aliases

arxiv: 0909.3416 · arxiv_version: 0909.3416v1 · doi: 10.48550/arxiv.0909.3416 · pith_short_12: FIUPCKCS5Z3X · pith_short_16: FIUPCKCS5Z3XTBVO · pith_short_8: FIUPCKCS

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/FIUPCKCS5Z3XTBVONLEPBYYPRZ \
  | 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: 2a28f12852ee777986ae6ac8f0e30f8e748e0067e9cec5f1c135ea2b82c5c54b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7249999dc192ed800381e1b8ba1f72749c4856f3005ba022128c35983acd23f4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2009-09-18T12:04:22Z",
    "title_canon_sha256": "6a0d240d9508ab1cea8e8d83cd9db82d4b427292367539661b7d1c5a39e7b133"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0909.3416",
    "kind": "arxiv",
    "version": 1
  }
}