Pith Number

pith:3WTOQBJW

pith:2011:3WTOQBJWB4F64BN7ZI53MTF7C7

not attested not anchored not stored refs pending

Stochastic Equations in Black Hole Backgrounds and Non-equilibrium Fluctuation Theorems

Satoshi Iso, Susumu Okazawa

arxiv:1104.2461 v1 · 2011-04-13 · hep-th · cond-mat.stat-mech · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3WTOQBJWB4F64BN7ZI53MTF7C7}

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	2026-05-18T04:18:24.065258Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dda6e805360f0bee05bfca3bb64cbf17f185bc85691e4bc595d2cefad860d34b

Aliases

arxiv: 1104.2461 · arxiv_version: 1104.2461v1 · doi: 10.48550/arxiv.1104.2461 · pith_short_12: 3WTOQBJWB4F6 · pith_short_16: 3WTOQBJWB4F64BN7 · pith_short_8: 3WTOQBJW

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/3WTOQBJWB4F64BN7ZI53MTF7C7 \
  | 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: dda6e805360f0bee05bfca3bb64cbf17f185bc85691e4bc595d2cefad860d34b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "838e2122a56bc32db67a66eace80c795c1d2cf527e9d6fb04bd5dac1f137a98f",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2011-04-13T12:11:47Z",
    "title_canon_sha256": "40ee0665e543dd323cd6ef78127054f34076dea081ba9ac25dc71264f8d8916c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.2461",
    "kind": "arxiv",
    "version": 1
  }
}