Pith Number

pith:4NXYCIEQ

pith:2018:4NXYCIEQFBVJZYHRVNPOAMQOZC

not attested not anchored not stored refs pending

An operator splitting scheme for the fractional kinetic Fokker-Planck equation

Manh Hong Duong, Yulong Lu

arxiv:1806.06127 v1 · 2018-06-15 · 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{4NXYCIEQFBVJZYHRVNPOAMQOZC}

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	2026-05-18T00:13:03.571149Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e36f812090286a9ce0f1ab5ee0320ec88b933fa1536ec120a6a0215ab32e399e

Aliases

arxiv: 1806.06127 · arxiv_version: 1806.06127v1 · doi: 10.48550/arxiv.1806.06127 · pith_short_12: 4NXYCIEQFBVJ · pith_short_16: 4NXYCIEQFBVJZYHR · pith_short_8: 4NXYCIEQ

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/4NXYCIEQFBVJZYHRVNPOAMQOZC \
  | 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: e36f812090286a9ce0f1ab5ee0320ec88b933fa1536ec120a6a0215ab32e399e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6e66eed29c2dc8a4af7d5f1af37c15f69774fba68d00b9b54a0c90ff24af520f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-06-15T21:12:03Z",
    "title_canon_sha256": "31745b58767eae2e5ddeda851e38e8defff7fc7eb91837a5f981708982d55357"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.06127",
    "kind": "arxiv",
    "version": 1
  }
}