Pith Number

pith:4TB57QCC

pith:2012:4TB57QCC4FWH3J43SDWM4IHN76

not attested not anchored not stored refs pending

Time Evolution of States for Open Quantum Systems. The quadratic case

Didier Robert

arxiv:1208.1598 v2 · 2012-08-08 · math-ph · math.DS · math.MP · 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{4TB57QCC4FWH3J43SDWM4IHN76}

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	2026-05-18T03:40:38.399967Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e4c3dfc042e16c7da79b90ecce20edff9ccc2f64cd87cb2df2b58558f322adee

Aliases

arxiv: 1208.1598 · arxiv_version: 1208.1598v2 · doi: 10.48550/arxiv.1208.1598 · pith_short_12: 4TB57QCC4FWH · pith_short_16: 4TB57QCC4FWH3J43 · pith_short_8: 4TB57QCC

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/4TB57QCC4FWH3J43SDWM4IHN76 \
  | 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: e4c3dfc042e16c7da79b90ecce20edff9ccc2f64cd87cb2df2b58558f322adee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "973de77f0b0e094043e19d621c843a3cb873af2cef08687500b2af5fec431a9e",
    "cross_cats_sorted": [
      "math.DS",
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-08-08T07:05:31Z",
    "title_canon_sha256": "871475b499c36d80b7f946a8470e87db8cb9a683d715b35e3e661f74646533d7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.1598",
    "kind": "arxiv",
    "version": 2
  }
}