Pith Number

pith:5IVJ3LZD

pith:2012:5IVJ3LZDYHHBAD4SJPWNXQ7SF3

not attested not anchored not stored refs pending

A Relative Entropy Rate Method for Path Space Sensitivity Analysis of Stationary Complex Stochastic Dynamics

Markos A. Katsoulakis, Yannis Pantazis

arxiv:1210.7264 v1 · 2012-10-26 · math-ph · math.MP · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5IVJ3LZDYHHBAD4SJPWNXQ7SF3}

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	2026-05-18T03:28:05.481123Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ea2a9daf23c1ce100f924becdbc3f22ecc73cf8188e47367857cf3f1233734d7

Aliases

arxiv: 1210.7264 · arxiv_version: 1210.7264v1 · doi: 10.48550/arxiv.1210.7264 · pith_short_12: 5IVJ3LZDYHHB · pith_short_16: 5IVJ3LZDYHHBAD4S · pith_short_8: 5IVJ3LZD

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/5IVJ3LZDYHHBAD4SJPWNXQ7SF3 \
  | 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: ea2a9daf23c1ce100f924becdbc3f22ecc73cf8188e47367857cf3f1233734d7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "328112490448e41c35c4d721efa9b8c0ca83058e817d837e9b458ecda98ae27d",
    "cross_cats_sorted": [
      "math.MP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-10-26T22:22:05Z",
    "title_canon_sha256": "4f30a65c6b9fe377bdc7f0bbd6af6cb0db7bf2a74f263610e4cbaadef6f85bf6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.7264",
    "kind": "arxiv",
    "version": 1
  }
}