Pith Number

pith:7AUQABF5

pith:2000:7AUQABF5WJVJEMG2BQZGAN4RM3

not attested not anchored not stored refs pending

Dynamics of quantum entanglement

Karol Zyczkowski, Michal Horodecki, Pawel Horodecki, Ryszard Horodecki

arxiv:quant-ph/0008115 v3 · 2000-08-27 · 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{7AUQABF5WJVJEMG2BQZGAN4RM3}

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	2026-07-04T16:23:01.521559Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f8290004bdb26a9230da0c3260379166eacaff916375ce40bfb2d214c550e05b

Aliases

arxiv: quant-ph/0008115 · arxiv_version: quant-ph/0008115v3 · doi: 10.48550/arxiv.quant-ph/0008115 · pith_short_12: 7AUQABF5WJVJ · pith_short_16: 7AUQABF5WJVJEMG2 · pith_short_8: 7AUQABF5

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/7AUQABF5WJVJEMG2BQZGAN4RM3 \
  | 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: f8290004bdb26a9230da0c3260379166eacaff916375ce40bfb2d214c550e05b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e5861760ebee9bedb3f2d3cbf30d0fcb6f8fc0059d622396144b194e0bdd7535",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2000-08-27T17:36:51Z",
    "title_canon_sha256": "b369fa34276c900a41c999aeefe22683437f8ad3eacee4e1c1c4a85dc2b4a55c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0008115",
    "kind": "arxiv",
    "version": 3
  }
}