Pith Number

pith:5726MFDF

pith:2010:5726MFDFI3A34RV7BEZSXAWOVR

not attested not anchored not stored refs pending

Two refreshing views of Fluctuation Theorems through Kinematics Elements and Exponential Martingale

Raphael Chetrite, Shamik Gupta

arxiv:1009.0707 v2 · 2010-09-03 · cond-mat.stat-mech · 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{5726MFDFI3A34RV7BEZSXAWOVR}

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	2026-05-18T03:05:45.183045Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eff5e6146546c1be46bf09332b82ceac759696ad76c33e15ad8ea4501d8e9200

Aliases

arxiv: 1009.0707 · arxiv_version: 1009.0707v2 · doi: 10.48550/arxiv.1009.0707 · pith_short_12: 5726MFDFI3A3 · pith_short_16: 5726MFDFI3A34RV7 · pith_short_8: 5726MFDF

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/5726MFDFI3A34RV7BEZSXAWOVR \
  | 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: eff5e6146546c1be46bf09332b82ceac759696ad76c33e15ad8ea4501d8e9200

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4a38bb3f7b2f87040d3fbfc51d03d3f454ac3ea15119c639f9f7dfe9a0ac1c91",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2010-09-03T16:01:49Z",
    "title_canon_sha256": "fb037e9b0bc4cb94a96029b5fd18327849b055a29d346a23cd88df5ef0ce0315"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.0707",
    "kind": "arxiv",
    "version": 2
  }
}