Pith Number

pith:N7ZDHR3I

pith:2015:N7ZDHR3IDUWR24S6YBTAFFI4VZ

not attested not anchored not stored refs pending

The Large Deviation Principle and Steady-state Fluctuation Theorem for the Entropy Production Rate of a Stochastic Process in Magnetic Fields

Hao Ge, Jie Xiong, Lihu Xu, Yong Chen

arxiv:1510.01898 v1 · 2015-10-07 · math.PR · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{N7ZDHR3IDUWR24S6YBTAFFI4VZ}

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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	2026-05-18T01:08:12.948734Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6ff233c7681d2d1d725ec06602951cae5596aa31857f793ec9f92d06a6ef7b54

Aliases

arxiv: 1510.01898 · arxiv_version: 1510.01898v1 · doi: 10.48550/arxiv.1510.01898 · pith_short_12: N7ZDHR3IDUWR · pith_short_16: N7ZDHR3IDUWR24S6 · pith_short_8: N7ZDHR3I

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/N7ZDHR3IDUWR24S6YBTAFFI4VZ \
  | 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: 6ff233c7681d2d1d725ec06602951cae5596aa31857f793ec9f92d06a6ef7b54

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1b8f7f9bbc8fcad58c4ef61ba027936901c4911f3f360b33176191db29f3e7e3",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-10-07T11:24:14Z",
    "title_canon_sha256": "7bb7aa2c22ac651f7d5810977cdf0201af80b32e820cd2b18ee05a89626b2b9a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.01898",
    "kind": "arxiv",
    "version": 1
  }
}