Pith Number

pith:YL5FJR7R

pith:2014:YL5FJR7RZP4ST6NHJTMI6HFPQO

not attested not anchored not stored refs pending

A stochastic Fokker-Planck equation and double probabilistic representation for the stochastic porous media type equation

Francesco Russo (UMA), Michael R\"ockner (SFB 701), Viorel Barbu

arxiv:1404.5120 v1 · 2014-04-21 · 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{YL5FJR7RZP4ST6NHJTMI6HFPQO}

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	2026-05-18T02:53:42.712854Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c2fa54c7f1cbf929f9a74cd88f1caf83ab0631cb370244f1e7f6d6051e5e4838

Aliases

arxiv: 1404.5120 · arxiv_version: 1404.5120v1 · doi: 10.48550/arxiv.1404.5120 · pith_short_12: YL5FJR7RZP4S · pith_short_16: YL5FJR7RZP4ST6NH · pith_short_8: YL5FJR7R

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/YL5FJR7RZP4ST6NHJTMI6HFPQO \
  | 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: c2fa54c7f1cbf929f9a74cd88f1caf83ab0631cb370244f1e7f6d6051e5e4838

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "32bac32017a0e1d2e2848dea0ef1fb64474b8e6beb0029c0c153956ab4eb81d2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-04-21T06:10:02Z",
    "title_canon_sha256": "3088a46504d008214f2f1e6c1ac00d3d88be8afe61cfe5e8ebbc4f253eee70c1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.5120",
    "kind": "arxiv",
    "version": 1
  }
}