Pith Number

pith:BNDYMONV

pith:2016:BNDYMONVRMM44WQIIV452G6F7E

not attested not anchored not stored refs pending

Eigenfunctions of the Multidimensional Linear Noise Fokker-Planck Operator via Ladder Operators

(2) Courant Institute of Mathematical Sciences), David Nielsen ((1) Graduate School of Arts, Georgetown University, Robert Friel (2), Sciences, Todd K. Leen (1)

arxiv:1609.01194 v1 · 2016-08-31 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BNDYMONVRMM44WQIIV452G6F7E}

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	2026-05-18T01:06:18.740858Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0b478639b58b19ce5a084579dd1bc5f91d1cc59b7ff47796c3c1a71e337a930b

Aliases

arxiv: 1609.01194 · arxiv_version: 1609.01194v1 · doi: 10.48550/arxiv.1609.01194 · pith_short_12: BNDYMONVRMM4 · pith_short_16: BNDYMONVRMM44WQI · pith_short_8: BNDYMONV

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/BNDYMONVRMM44WQIIV452G6F7E \
  | 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: 0b478639b58b19ce5a084579dd1bc5f91d1cc59b7ff47796c3c1a71e337a930b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e5b3e8bacf1748ef524659c7ee187377300273c71e0291dd36960c289a92f9f6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2016-08-31T20:55:21Z",
    "title_canon_sha256": "8b525a2d930183157eb3c6e46393a64bddba21c35131c8f8c248d5505ef8c019"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.01194",
    "kind": "arxiv",
    "version": 1
  }
}