Pith Number

pith:GTOYN2VM

pith:2014:GTOYN2VMI7JZF3EJ3EONBDPXEA

not attested not anchored not stored refs pending

Lindbladians for controlled stochastic Hamiltonians

A. Retzker, J.E. Avron, M. Shalyt, O. Kenneth

arxiv:1412.2709 v1 · 2014-12-08 · 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{GTOYN2VMI7JZF3EJ3EONBDPXEA}

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	2026-05-18T01:41:20.786551Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

34dd86eaac47d392ec89d91cd08df7200baac5e88187180f295744423fee6794

Aliases

arxiv: 1412.2709 · arxiv_version: 1412.2709v1 · doi: 10.48550/arxiv.1412.2709 · pith_short_12: GTOYN2VMI7JZ · pith_short_16: GTOYN2VMI7JZF3EJ · pith_short_8: GTOYN2VM

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/GTOYN2VMI7JZF3EJ3EONBDPXEA \
  | 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: 34dd86eaac47d392ec89d91cd08df7200baac5e88187180f295744423fee6794

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "927679de4a666e4169e8907534fb7d7f2f4ff4a0d263a4a15cfd665e00a6a34c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2014-12-08T19:36:37Z",
    "title_canon_sha256": "1c057f3b9c7261573ce16ad49ea26c0d37e55fa12bef0e19217b54afc01cf47a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.2709",
    "kind": "arxiv",
    "version": 1
  }
}