Pith Number

pith:ATAN2GJE

pith:1999:ATAN2GJEBXGGRIJSWLOBJXCGR7

not attested not anchored not stored refs pending

Entanglement of pure states for a single copy

Guifre Vidal

arxiv:quant-ph/9902033 v2 · 1999-02-09 · 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{ATAN2GJEBXGGRIJSWLOBJXCGR7}

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

Error exponents for tripartite-to-bipartite entanglement transformations

Receipt and verification

First computed	2026-07-04T16:15:39.899762Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

04c0dd19240dcc68a132b2dc14dc468fc4e2da9842d963907149da460c776a9f

Aliases

arxiv: quant-ph/9902033 · arxiv_version: quant-ph/9902033v2 · doi: 10.48550/arxiv.quant-ph/9902033 · pith_short_12: ATAN2GJEBXGG · pith_short_16: ATAN2GJEBXGGRIJS · pith_short_8: ATAN2GJE

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/ATAN2GJEBXGGRIJSWLOBJXCGR7 \
  | 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: 04c0dd19240dcc68a132b2dc14dc468fc4e2da9842d963907149da460c776a9f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2f57ea546f9ce5e6f6770336ddde4dc79fc2deeb37c87b50c0eaaaed0d29d879",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "1999-02-09T11:44:01Z",
    "title_canon_sha256": "0afb8a8e813d0e9125129168f1fef728b941e232d23d299d87342741e6c043fb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/9902033",
    "kind": "arxiv",
    "version": 2
  }
}