Pith Number

pith:CRRKCO3X

pith:2016:CRRKCO3XHK3MGHE4PFXDI76K3V

not attested not anchored not stored refs pending

Quantum engines and the range of the second law of thermodynamics in the noncommutative phase-space

Alex E. Bernardini, Jonas F. G. Santos

arxiv:1606.05592 v2 · 2016-06-17 · quant-ph · hep-th

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

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	2026-05-18T00:42:12.990484Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1462a13b773ab6c31c9c796e347fcadd5aa0ecbfad88a736b43bebbabd1ebd92

Aliases

arxiv: 1606.05592 · arxiv_version: 1606.05592v2 · doi: 10.48550/arxiv.1606.05592 · pith_short_12: CRRKCO3XHK3M · pith_short_16: CRRKCO3XHK3MGHE4 · pith_short_8: CRRKCO3X

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/CRRKCO3XHK3MGHE4PFXDI76K3V \
  | 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: 1462a13b773ab6c31c9c796e347fcadd5aa0ecbfad88a736b43bebbabd1ebd92

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c5b1c73376460d67c3e4f57892c59867fabdc3da7b13f3a1ce2bd6d534fbe2cd",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2016-06-17T17:23:57Z",
    "title_canon_sha256": "91f369dcb0e4d8acbcd3e5197638bdd75b0d6881d744ccb792d092ec2ad1f566"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.05592",
    "kind": "arxiv",
    "version": 2
  }
}