Pith Number

pith:7MZLJGYA

pith:2012:7MZLJGYAXAEN67STOVLB753GC7

not attested not anchored not stored refs pending

Second Law-Like Inequalities with Quantum Relative Entropy: An Introduction

Takahiro Sagawa

arxiv:1202.0983 v4 · 2012-02-05 · cond-mat.stat-mech · math-ph · math.MP · 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{7MZLJGYAXAEN67STOVLB753GC7}

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

1 paper in Pith

Entanglement study in the island of inversion region using \textit{ab initio} approach

Receipt and verification

First computed	2026-07-05T06:01:32.370923Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fb32b49b00b808df7e5375561ff76617e6e098c186e0c2639ffdd653815359e6

Aliases

arxiv: 1202.0983 · arxiv_version: 1202.0983v4 · doi: 10.48550/arxiv.1202.0983 · pith_short_12: 7MZLJGYAXAEN · pith_short_16: 7MZLJGYAXAEN67ST · pith_short_8: 7MZLJGYA

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/7MZLJGYAXAEN67STOVLB753GC7 \
  | 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: fb32b49b00b808df7e5375561ff76617e6e098c186e0c2639ffdd653815359e6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8123e18df3531d98d6ec0b48a6892cdeba7d3f52e3b2b49bd2734442c756c28a",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2012-02-05T17:02:33Z",
    "title_canon_sha256": "4f554225b7f52408d704cb509225cbed693d0a08793068749a435df1fd4c217a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.0983",
    "kind": "arxiv",
    "version": 4
  }
}