Pith Number

pith:ZFTW2XH3

pith:2015:ZFTW2XH32AMGNXMCKGSH67CNT5

not attested not anchored not stored refs pending

First-order quarter- and mixed-moment realizability theory and Kershaw closures for a Fokker-Planck equation in two space dimensions

Andreas Roth, Florian Schneider, Jochen Kall

arxiv:1509.02344 v1 · 2015-09-08 · 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{ZFTW2XH32AMGNXMCKGSH67CNT5}

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	2026-05-18T00:26:18.607262Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c9676d5cfbd01866dd8251a47f7c4d9f4f537ca17c8db815d6ce644bdb63da8d

Aliases

arxiv: 1509.02344 · arxiv_version: 1509.02344v1 · doi: 10.48550/arxiv.1509.02344 · pith_short_12: ZFTW2XH32AMG · pith_short_16: ZFTW2XH32AMGNXMC · pith_short_8: ZFTW2XH3

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/ZFTW2XH32AMGNXMCKGSH67CNT5 \
  | 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: c9676d5cfbd01866dd8251a47f7c4d9f4f537ca17c8db815d6ce644bdb63da8d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d8ff844d9c9114b2daac73d3e4805595fcc87aef1d5a2fbc43aee5c0ed7981ec",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-09-08T12:45:37Z",
    "title_canon_sha256": "dac220a0c774505828c6f77976a559f46ffe909f93079ba789e9a0b0aeda38b6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.02344",
    "kind": "arxiv",
    "version": 1
  }
}