Pith Number

pith:ZKCM2IC4

pith:2002:ZKCM2IC4NXQQ3NKN7Q2LIABDF2

not attested not anchored not stored refs pending

Comparison of Entropies in the Light of Separability

J. Rai, S. Rai

arxiv:quant-ph/0209159 v2 · 2002-09-28 · 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{ZKCM2IC4NXQQ3NKN7Q2LIABDF2}

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	2026-05-18T01:05:04.318950Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ca84cd205c6de10db54dfc34b400232eb24f7ef937ff48eb5894f06c762d6aba

Aliases

arxiv: quant-ph/0209159 · arxiv_version: quant-ph/0209159v2 · doi: 10.48550/arxiv.quant-ph/0209159 · pith_short_12: ZKCM2IC4NXQQ · pith_short_16: ZKCM2IC4NXQQ3NKN · pith_short_8: ZKCM2IC4

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/ZKCM2IC4NXQQ3NKN7Q2LIABDF2 \
  | 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: ca84cd205c6de10db54dfc34b400232eb24f7ef937ff48eb5894f06c762d6aba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "539bff45babe8aae6e015d97b35da256d8f6b03bdcb5d541d578dc00ec6c72b7",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2002-09-28T14:36:26Z",
    "title_canon_sha256": "233f159b137321170ed0077272661525de7f4fa749004a3375d61eb6bf7d674d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0209159",
    "kind": "arxiv",
    "version": 2
  }
}