Pith Number

pith:VDY3WGZH

pith:2013:VDY3WGZHH4NWEW2W4NZA7GHCQ3

not attested not anchored not stored refs pending

The second law of thermodynamics for pure quantum states

Hal Tasaki, Sheldon Goldstein, Takashi Hara

arxiv:1303.6393 v3 · 2013-03-26 · cond-mat.stat-mech · 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{VDY3WGZHH4NWEW2W4NZA7GHCQ3}

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.

Cited by

2 papers in Pith

Clifford Ergotropy

Receipt and verification

First computed	2026-05-18T03:29:26.437299Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a8f1bb1b273f1b625b56e3720f98e286cf715fb7934b7d44cb890f016485714a

Aliases

arxiv: 1303.6393 · arxiv_version: 1303.6393v3 · doi: 10.48550/arxiv.1303.6393 · pith_short_12: VDY3WGZHH4NW · pith_short_16: VDY3WGZHH4NWEW2W · pith_short_8: VDY3WGZH

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/VDY3WGZHH4NWEW2W4NZA7GHCQ3 \
  | 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: a8f1bb1b273f1b625b56e3720f98e286cf715fb7934b7d44cb890f016485714a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "321c41db7ff92a138b84e3afbd0c31e880d7a0e0e0d67c0ac709c275cc4925c8",
    "cross_cats_sorted": [
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2013-03-26T06:10:24Z",
    "title_canon_sha256": "5bdbc0d999b0d9b8e26a9b7703547905e24fc357b570f803c6905161eaab7f00"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.6393",
    "kind": "arxiv",
    "version": 3
  }
}