Pith Number

pith:PJCAJYDQ

pith:2021:PJCAJYDQPMQODYDOBVZF35O6U5

not attested not anchored not stored refs pending

Irreversibility, Loschmidt echo, and thermodynamic uncertainty relation

Yoshihiko Hasegawa

arxiv:2101.06831 v5 · 2021-01-18 · 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{PJCAJYDQPMQODYDOBVZF35O6U5}

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	2026-07-05T03:38:59.091738Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7a4404e0707b20e1e06e0d725df5dea76de5bd751fc2eff297af3bba0fb1279e

Aliases

arxiv: 2101.06831 · arxiv_version: 2101.06831v5 · doi: 10.48550/arxiv.2101.06831 · pith_short_12: PJCAJYDQPMQO · pith_short_16: PJCAJYDQPMQODYDO · pith_short_8: PJCAJYDQ

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/PJCAJYDQPMQODYDOBVZF35O6U5 \
  | 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: 7a4404e0707b20e1e06e0d725df5dea76de5bd751fc2eff297af3bba0fb1279e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ecc49ae571e8d6084509657eb30ebe7acf0eefc6d6d36e0a795045c6dfa0d5bd",
    "cross_cats_sorted": [
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2021-01-18T01:42:11Z",
    "title_canon_sha256": "572f6f6ab71d474cecf6f0935bdbdbfda24676b003e4a1b8bc744361efc5e0fc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2101.06831",
    "kind": "arxiv",
    "version": 5
  }
}