Pith Number

pith:YO7G5GGG

pith:1998:YO7G5GGGOH5RTUVMJRVRYXQ76Y

not attested not anchored not stored refs pending

Entanglement and thermodynamical analogies

Michal Horodecki, Pawel Horodecki, Ryszard Horodecki

arxiv:quant-ph/9805072 v1 · 1998-05-22 · 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{YO7G5GGGOH5RTUVMJRVRYXQ76Y}

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	2026-07-04T14:47:12.557230Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c3be6e98c671fb19d2ac4c6b1c5e1ff62f3383f9855ad37a9d9de6746e4bd9b2

Aliases

arxiv: quant-ph/9805072 · arxiv_version: quant-ph/9805072v1 · doi: 10.48550/arxiv.quant-ph/9805072 · pith_short_12: YO7G5GGGOH5R · pith_short_16: YO7G5GGGOH5RTUVM · pith_short_8: YO7G5GGG

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/YO7G5GGGOH5RTUVMJRVRYXQ76Y \
  | 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: c3be6e98c671fb19d2ac4c6b1c5e1ff62f3383f9855ad37a9d9de6746e4bd9b2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "009d6bdb36286179355176854fbd6595c45d0c07d18c75342518a773e5d6d7ed",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "1998-05-22T19:07:20Z",
    "title_canon_sha256": "d27117af4dce087a713dcfd53e437c35252c5535296d9a20155e68937982d665"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/9805072",
    "kind": "arxiv",
    "version": 1
  }
}