Pith Number

pith:BM3LBJ3D

pith:2011:BM3LBJ3D2I3ZUYHUY26QMEDAMQ

not attested not anchored not stored refs pending

Analytical approach for treating unitary quantum systems with initial mixed states

Faisal A. A. El-Orany

arxiv:1102.4685 v1 · 2011-02-23 · 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{BM3LBJ3D2I3ZUYHUY26QMEDAMQ}

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	2026-05-18T04:28:07.612352Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0b36b0a763d2379a60f4c6bd06106064292892f821d16eabdfce97f6a71fa9d2

Aliases

arxiv: 1102.4685 · arxiv_version: 1102.4685v1 · doi: 10.48550/arxiv.1102.4685 · pith_short_12: BM3LBJ3D2I3Z · pith_short_16: BM3LBJ3D2I3ZUYHU · pith_short_8: BM3LBJ3D

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/BM3LBJ3D2I3ZUYHUY26QMEDAMQ \
  | 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: 0b36b0a763d2379a60f4c6bd06106064292892f821d16eabdfce97f6a71fa9d2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "20018e61a3a1f7d89e469154c794f9f227f0c4125a9d12c7fa45961169f725d3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2011-02-23T08:32:28Z",
    "title_canon_sha256": "646d6939196e42809c354ad6d0763e506f239d323d990c81f3f3c3170f345343"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.4685",
    "kind": "arxiv",
    "version": 1
  }
}