Pith Number

pith:FXUAP5P7

pith:2013:FXUAP5P7YITLDJCUTZPIWS6HIL

not attested not anchored not stored refs pending

Trace distance and linear entropy of qubit states: Role of initial qubit-environment correlations

Jerzy Dajka, Jerzy Luczka

arxiv:1304.2239 v1 · 2013-04-08 · 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{FXUAP5P7YITLDJCUTZPIWS6HIL}

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	2026-05-18T01:50:41.581475Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2de807f5ffc226b1a4549e5e8b4bc742d44d403d6972b2dd89d501ef4191a588

Aliases

arxiv: 1304.2239 · arxiv_version: 1304.2239v1 · doi: 10.48550/arxiv.1304.2239 · pith_short_12: FXUAP5P7YITL · pith_short_16: FXUAP5P7YITLDJCU · pith_short_8: FXUAP5P7

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/FXUAP5P7YITLDJCUTZPIWS6HIL \
  | 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: 2de807f5ffc226b1a4549e5e8b4bc742d44d403d6972b2dd89d501ef4191a588

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bfa32521ec308fc58f8c303cf6819fd9229b46be50736bf67c77eb9267bfcee0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2013-04-08T15:36:22Z",
    "title_canon_sha256": "f8205ca1d39efb1e1c4cd076d9d2333c70c32fdc6785de7664d4a78ae45d6efa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.2239",
    "kind": "arxiv",
    "version": 1
  }
}