Pith Number

pith:ZUX3LV3T

pith:2015:ZUX3LV3TJHKVC5NJ3L3VATEZKQ

not attested not anchored not stored refs pending

Problem adapted Hierarchical Model Reduction for the Fokker-Planck equation

Julia Brunken, Kathrin Smetana, Mario Ohlberger, Tobias Leibner

arxiv:1511.02073 v2 · 2015-11-06 · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZUX3LV3TJHKVC5NJ3L3VATEZKQ}

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	2026-05-18T01:21:36.806005Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cd2fb5d77349d55175a9daf7504c99543f483b4cf27f71ccabb1a536316099cd

Aliases

arxiv: 1511.02073 · arxiv_version: 1511.02073v2 · doi: 10.48550/arxiv.1511.02073 · pith_short_12: ZUX3LV3TJHKV · pith_short_16: ZUX3LV3TJHKVC5NJ · pith_short_8: ZUX3LV3T

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/ZUX3LV3TJHKVC5NJ3L3VATEZKQ \
  | 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: cd2fb5d77349d55175a9daf7504c99543f483b4cf27f71ccabb1a536316099cd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8f9619366bde1bac71211fc405b085ed7669befe0aa3e8d01bb5fb610bad4bf0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2015-11-06T13:31:27Z",
    "title_canon_sha256": "ea25360cac20bf52e319bc8706c99ce7b85e55a107e3b936e91a5c26f27aaa07"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.02073",
    "kind": "arxiv",
    "version": 2
  }
}