Pith Number

pith:JJXLOIL7

pith:2002:JJXLOIL76BDKW2X32Z6GXJSCJJ

not attested not anchored not stored refs pending

Generalizations of entanglement based on coherent states and convex sets

E. Knill, G. Ortiz, H. Barnum, L. Viola

arxiv:quant-ph/0207149 v1 · 2002-07-26 · quant-ph · cond-mat

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JJXLOIL76BDKW2X32Z6GXJSCJJ}

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.

Cited by

1 paper in Pith

Partitions in quantum theory

Receipt and verification

First computed	2026-07-04T16:36:07.705620Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4a6eb7217ff046ab6afbd67c6ba6424a6ed990b55729adf110efe48a694fc352

Aliases

arxiv: quant-ph/0207149 · arxiv_version: quant-ph/0207149v1 · doi: 10.48550/arxiv.quant-ph/0207149 · pith_short_12: JJXLOIL76BDK · pith_short_16: JJXLOIL76BDKW2X3 · pith_short_8: JJXLOIL7

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/JJXLOIL76BDKW2X32Z6GXJSCJJ \
  | 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: 4a6eb7217ff046ab6afbd67c6ba6424a6ed990b55729adf110efe48a694fc352

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "10fcee225085e40542e8ac98620eb1b8dc0fb8e69e019137203b0d3b7ab310f6",
    "cross_cats_sorted": [
      "cond-mat"
    ],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2002-07-26T19:03:16Z",
    "title_canon_sha256": "b4f4592ddd59561f1eab59266c5ed2fd54caeacebef5d0023b2046b57766d3bc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0207149",
    "kind": "arxiv",
    "version": 1
  }
}