Pith Number

pith:4ZWODVKL

pith:2010:4ZWODVKLAMQ7G4LKRFJDULDHXX

not attested not anchored not stored refs pending

A homomorphism theorem and a Trotter product formula for quantum stochastic flows with unbounded coefficients

Biswarup Das, Debashish Goswami, Kalyan B. Sinha

arxiv:1001.0233 v2 · 2010-01-01 · math.OA · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4ZWODVKLAMQ7G4LKRFJDULDHXX}

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	2026-05-18T00:56:58.518874Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e66ce1d54b0321f3716a89523a2c67bdf6a265a4c67cb49efd7180224e2133e2

Aliases

arxiv: 1001.0233 · arxiv_version: 1001.0233v2 · doi: 10.48550/arxiv.1001.0233 · pith_short_12: 4ZWODVKLAMQ7 · pith_short_16: 4ZWODVKLAMQ7G4LK · pith_short_8: 4ZWODVKL

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/4ZWODVKLAMQ7G4LKRFJDULDHXX \
  | 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: e66ce1d54b0321f3716a89523a2c67bdf6a265a4c67cb49efd7180224e2133e2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b94b00734eba8ef5ac5004009beeda329b9d8e4c6632b210774722eca25d9a8b",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2010-01-01T13:31:33Z",
    "title_canon_sha256": "483500b1047a326b45a5f19f088a6e9963435319e1ce9eb8d5421547d2973247"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1001.0233",
    "kind": "arxiv",
    "version": 2
  }
}