Pith Number

pith:YVTF7YHA

pith:2015:YVTF7YHAVBHGXZUDJHSYRRBN36

not attested not anchored not stored refs pending

Computing Coherent Sets using the Fokker-Planck Equation

Andreas Denner, Daniel Matthes, Oliver Junge

arxiv:1512.03761 v2 · 2015-12-11 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YVTF7YHAVBHGXZUDJHSYRRBN36}

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	2026-05-18T01:02:21.111537Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c5665fe0e0a84e6be68349e588c42ddf856cbfeb97f504378410c7611aaa5af1

Aliases

arxiv: 1512.03761 · arxiv_version: 1512.03761v2 · doi: 10.48550/arxiv.1512.03761 · pith_short_12: YVTF7YHAVBHG · pith_short_16: YVTF7YHAVBHGXZUD · pith_short_8: YVTF7YHA

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/YVTF7YHAVBHGXZUDJHSYRRBN36 \
  | 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: c5665fe0e0a84e6be68349e588c42ddf856cbfeb97f504378410c7611aaa5af1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "555b90d9feacacba31d4b6fb2352c26df1d236fe420a856fef544464a9f9f7d7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2015-12-11T19:11:03Z",
    "title_canon_sha256": "b41878f70d96073e0bc2764a9caf83fbdad3416d5853bd41b1f79d5f09e3258f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.03761",
    "kind": "arxiv",
    "version": 2
  }
}