Pith Number

pith:TCNM2TWI

pith:2015:TCNM2TWIMQGOCLD546HLZMFQVW

not attested not anchored not stored refs pending

Invariant Measures for a Stochastic Fokker-Planck Equation

ICJ), Julien Vovelle (ICJ), Luis Miguel Rodrigues (UCBL / INRIA Grenoble Rh\^one-Alpes / INSMI, Sylvain De Moor (IRMAR)

arxiv:1503.07726 v2 · 2015-03-26 · math.AP · 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{TCNM2TWIMQGOCLD546HLZMFQVW}

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	2026-05-18T00:42:13.635959Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

989acd4ec8640ce12c7de78ebcb0b0ad80ffba0a943b8d66ef06895913a65e6e

Aliases

arxiv: 1503.07726 · arxiv_version: 1503.07726v2 · doi: 10.48550/arxiv.1503.07726 · pith_short_12: TCNM2TWIMQGO · pith_short_16: TCNM2TWIMQGOCLD5 · pith_short_8: TCNM2TWI

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/TCNM2TWIMQGOCLD546HLZMFQVW \
  | 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: 989acd4ec8640ce12c7de78ebcb0b0ad80ffba0a943b8d66ef06895913a65e6e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cf57450dc39c418874bd50cabc8b6f3a721aeca57a0eb6c76c9c6f500284ac0a",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-03-26T13:17:47Z",
    "title_canon_sha256": "1a04cb2be3e8578f730ee4a6c3dc6257fecdcc1578bcb2dfc2d2211ae9fad77c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.07726",
    "kind": "arxiv",
    "version": 2
  }
}