Pith Number

pith:GEIEPQNB

pith:1999:GEIEPQNBOW7C6GUJX3DWD4RKYO

not attested not anchored not stored refs pending

Explicit product ensembles for separable quantum states

C. M. Caves (University of New Mexico), R. Schack (Royal Holloway, University of London)

arxiv:quant-ph/9904109 v2 · 1999-04-30 · 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{GEIEPQNBOW7C6GUJX3DWD4RKYO}

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	2026-05-18T01:37:52.525775Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

311047c1a175be2f1a89bec761f22ac38fa92d4301ca4dfff3b265158945659c

Aliases

arxiv: quant-ph/9904109 · arxiv_version: quant-ph/9904109v2 · doi: 10.48550/arxiv.quant-ph/9904109 · pith_short_12: GEIEPQNBOW7C · pith_short_16: GEIEPQNBOW7C6GUJ · pith_short_8: GEIEPQNB

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/GEIEPQNBOW7C6GUJX3DWD4RKYO \
  | 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: 311047c1a175be2f1a89bec761f22ac38fa92d4301ca4dfff3b265158945659c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b2e0aa3c8952744ee0c9250ee49bced58cff52c6201cace31875024b7c59a52f",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "1999-04-30T14:29:56Z",
    "title_canon_sha256": "6bb785746c947af7c2c431e9636113670a6b5b1827ec92214df5b7dc6a8757d2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/9904109",
    "kind": "arxiv",
    "version": 2
  }
}