Pith Number

pith:IX4KLKEA

pith:2017:IX4KLKEA3PZZQXPE77Z3DWHQRX

not attested not anchored not stored refs pending

Point cloud discretization of Fokker-Planck operators for committor functions

Jianfeng Lu, Rongjie Lai

arxiv:1703.09359 v1 · 2017-03-28 · math.NA · physics.chem-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IX4KLKEA3PZZQXPE77Z3DWHQRX}

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	2026-05-18T00:47:39.719947Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

45f8a5a880dbf3985de4fff3b1d8f08ddc8596fcebffa254ec9a481b9c23f442

Aliases

arxiv: 1703.09359 · arxiv_version: 1703.09359v1 · doi: 10.48550/arxiv.1703.09359 · pith_short_12: IX4KLKEA3PZZ · pith_short_16: IX4KLKEA3PZZQXPE · pith_short_8: IX4KLKEA

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/IX4KLKEA3PZZQXPE77Z3DWHQRX \
  | 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: 45f8a5a880dbf3985de4fff3b1d8f08ddc8596fcebffa254ec9a481b9c23f442

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a4a7c13f7920dfed1ccad20fb7579df3c5fd6f256260c9dad625f0a983b5fcef",
    "cross_cats_sorted": [
      "physics.chem-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2017-03-28T00:49:27Z",
    "title_canon_sha256": "9c6befe5e3447fc01d641f5b2be5843638148ad4e9fc1c685f518e1a6900d0fa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.09359",
    "kind": "arxiv",
    "version": 1
  }
}