Pith Number

pith:YOY42AWJ

pith:2005:YOY42AWJUYO4JQVRX2MMEAVCLH

not attested not anchored not stored refs pending

Generalization of entanglement to convex operational theories: Entanglement relative to a subspace of observables

Gerardo Ortiz, Howard Barnum, Lorenza Viola, Rolando Somma

arxiv:quant-ph/0506099 v1 · 2005-06-13 · 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{YOY42AWJUYO4JQVRX2MMEAVCLH}

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	2026-07-04T16:57:35.850712Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c3b1cd02c9a61dc4c2b1be98c202a259ed318f7fb2db6434276fb2ddcfffab68

Aliases

arxiv: quant-ph/0506099 · arxiv_version: quant-ph/0506099v1 · doi: 10.48550/arxiv.quant-ph/0506099 · pith_short_12: YOY42AWJUYO4 · pith_short_16: YOY42AWJUYO4JQVR · pith_short_8: YOY42AWJ

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/YOY42AWJUYO4JQVRX2MMEAVCLH \
  | 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: c3b1cd02c9a61dc4c2b1be98c202a259ed318f7fb2db6434276fb2ddcfffab68

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6454ab7a43f9e0340eab439b8a91994c45f1ddcd66e17f24b1b8a0950c96cee2",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2005-06-13T20:59:05Z",
    "title_canon_sha256": "07bf3abd4f6158d042cf436dfc6a756cfb24a9116a1dcaf7dcf9a2278fa30a9c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0506099",
    "kind": "arxiv",
    "version": 1
  }
}