Pith Number

pith:76B64BD7

pith:2004:76B64BD7AQSGXACXBUTNLTJGTG

not attested not anchored not stored refs pending

Unitarity as preservation of entropy and entanglement in quantum systems

Aditi Sen De, Anna Sanpera, Florian Hulpke, Maciej Lewenstein, Uffe V. Poulsen, Ujjwal Sen

arxiv:quant-ph/0407118 v3 · 2004-07-15 · 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{76B64BD7AQSGXACXBUTNLTJGTG}

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	2026-07-04T15:54:43.971830Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ff83ee047f04246b80570d26d5cd2699a384307299048c2d00a0b4629f880603

Aliases

arxiv: quant-ph/0407118 · arxiv_version: quant-ph/0407118v3 · doi: 10.48550/arxiv.quant-ph/0407118 · pith_short_12: 76B64BD7AQSG · pith_short_16: 76B64BD7AQSGXACX · pith_short_8: 76B64BD7

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/76B64BD7AQSGXACXBUTNLTJGTG \
  | 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: ff83ee047f04246b80570d26d5cd2699a384307299048c2d00a0b4629f880603

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a76c2da107303082e6171edbcb45bcbd49b34a6f2ba373447f5ee7a9e52a84cb",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2004-07-15T14:23:55Z",
    "title_canon_sha256": "5525c3c78e8a7db510eaf59b54745f90535196871b621b8ec8e5864df90eae48"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0407118",
    "kind": "arxiv",
    "version": 3
  }
}