Pith Number

pith:FZSWQN7B

pith:2017:FZSWQN7BYDPOHLPJTT2HROG2DS

not attested not anchored not stored refs pending

Long-time behaviour of non-local in time Fokker-Planck equations via the entropy method

Jukka Kemppainen, Rico Zacher

arxiv:1708.04572 v2 · 2017-08-15 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FZSWQN7BYDPOHLPJTT2HROG2DS}

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	2026-05-18T00:09:04.264792Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2e656837e1c0dee3ade99cf478b8da1c8cf30eb36bdd35d9706b3bd655fe2760

Aliases

arxiv: 1708.04572 · arxiv_version: 1708.04572v2 · doi: 10.48550/arxiv.1708.04572 · pith_short_12: FZSWQN7BYDPO · pith_short_16: FZSWQN7BYDPOHLPJ · pith_short_8: FZSWQN7B

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/FZSWQN7BYDPOHLPJTT2HROG2DS \
  | 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: 2e656837e1c0dee3ade99cf478b8da1c8cf30eb36bdd35d9706b3bd655fe2760

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4a381db2dca16da621c17965433d90f7fc2836847c640931c0d56374ed68e8a2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-08-15T16:10:51Z",
    "title_canon_sha256": "102125816490e1d8dc7237e2f0d41d8662b9cf0eb198ea19e3f4bfb920485ebd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.04572",
    "kind": "arxiv",
    "version": 2
  }
}