Pith Number

pith:VZIADFRE

pith:2001:VZIADFRECEFXOUS5ZICICKZUGQ

not attested not anchored not stored refs pending

Coherent States from Combinatorial Sequences

Allan I Solomon (Quantum Processes Group, Karol A. Penson (L.P.T.L., Open University, Paris VI), United Kingdom), Universite Pierre et Marie Curie

arxiv:quant-ph/0111151 v1 · 2001-11-28 · quant-ph · 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{VZIADFRECEFXOUS5ZICICKZUGQ}

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	2026-05-18T00:36:52.380624Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ae50019624110b77525dca04812b343408b67e10c1c54401e182d805c36e5734

Aliases

arxiv: quant-ph/0111151 · arxiv_version: quant-ph/0111151v1 · doi: 10.48550/arxiv.quant-ph/0111151 · pith_short_12: VZIADFRECEFX · pith_short_16: VZIADFRECEFXOUS5 · pith_short_8: VZIADFRE

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/VZIADFRECEFXOUS5ZICICKZUGQ \
  | 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: ae50019624110b77525dca04812b343408b67e10c1c54401e182d805c36e5734

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3d97b0dc4498456b5c966a79a86de91b99cadc0d87c921f0555892afdc491f13",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2001-11-28T13:28:29Z",
    "title_canon_sha256": "517885aec4c2a7017d6384a66c3e71703aafeba088b1b89ae1ea9fc40c272e76"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0111151",
    "kind": "arxiv",
    "version": 1
  }
}