Pith Number

pith:6VPV5W3H

pith:2002:6VPV5W3H23CRDNHCU27EO6D4KZ

not attested not anchored not stored refs pending

Information-theoretical meaning of quantum dynamical entropy

Robert Alicki

arxiv:quant-ph/0201012 v1 · 2002-01-04 · 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{6VPV5W3H23CRDNHCU27EO6D4KZ}

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	2026-07-04T16:35:57.945697Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f55f5edb67d6c511b4e2a6be47787c5673e786c7f3ed65629aab3da8386ed604

Aliases

arxiv: quant-ph/0201012 · arxiv_version: quant-ph/0201012v1 · doi: 10.48550/arxiv.quant-ph/0201012 · pith_short_12: 6VPV5W3H23CR · pith_short_16: 6VPV5W3H23CRDNHC · pith_short_8: 6VPV5W3H

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/6VPV5W3H23CRDNHCU27EO6D4KZ \
  | 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: f55f5edb67d6c511b4e2a6be47787c5673e786c7f3ed65629aab3da8386ed604

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "421539b901f7e47876bf8edc544df955e01ee000ebbc72f7bca3e2065176dc09",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2002-01-04T10:43:46Z",
    "title_canon_sha256": "17dac73f376cddef4d858232727f86e5fa78e29a82e5753667d827b7dc16a39b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0201012",
    "kind": "arxiv",
    "version": 1
  }
}