Pith Number

pith:WNMGJ45Y

pith:2007:WNMGJ45Y64ZWS5R6EEKHKOIQDG

not attested not anchored not stored refs pending

Generators of Detailed Balance Quantum Markov Semigroups

Franco Fagnola, Veronica Umanita

arxiv:0707.2147 v2 · 2007-07-14 · math-ph · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WNMGJ45Y64ZWS5R6EEKHKOIQDG}

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	2026-05-18T04:00:16.334982Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b35864f3b8f73369763e211475391019a2920fb00b700b5d0de2c43a40db4b96

Aliases

arxiv: 0707.2147 · arxiv_version: 0707.2147v2 · doi: 10.48550/arxiv.0707.2147 · pith_short_12: WNMGJ45Y64ZW · pith_short_16: WNMGJ45Y64ZWS5R6 · pith_short_8: WNMGJ45Y

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/WNMGJ45Y64ZWS5R6EEKHKOIQDG \
  | 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: b35864f3b8f73369763e211475391019a2920fb00b700b5d0de2c43a40db4b96

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ba36dc1f57a44b53f6d1df4517d11c5f7addc3ea097e4a98b87333d238edf999",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2007-07-14T11:02:27Z",
    "title_canon_sha256": "b9e957176ae23295db148b168f9690bb52a56f2b8f7a80231a1e00d9b0d4f42a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0707.2147",
    "kind": "arxiv",
    "version": 2
  }
}