Pith Number

pith:FHH5W4B4

pith:2013:FHH5W4B4WQQSX2F35WRGZUH2L7

not attested not anchored not stored refs pending

Hermite spectral method to 1D forward Kolmogorov equation and its application to nonlinear filtering problems

Stephen S.-T. Yau, Xue Luo

arxiv:1301.1403 v2 · 2013-01-08 · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FHH5W4B4WQQSX2F35WRGZUH2L7}

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	2026-05-18T03:00:26.597675Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

29cfdb703cb4212be8bbeda26cd0fa5fc9a1a0b316c03ad7816f4380d92872cb

Aliases

arxiv: 1301.1403 · arxiv_version: 1301.1403v2 · doi: 10.48550/arxiv.1301.1403 · pith_short_12: FHH5W4B4WQQS · pith_short_16: FHH5W4B4WQQSX2F3 · pith_short_8: FHH5W4B4

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/FHH5W4B4WQQSX2F35WRGZUH2L7 \
  | 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: 29cfdb703cb4212be8bbeda26cd0fa5fc9a1a0b316c03ad7816f4380d92872cb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "81cd03e68f6358ba430707c8d9794b2f8b8aea68bc07892923f08af446ef8f59",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2013-01-08T03:24:44Z",
    "title_canon_sha256": "75c94ba941dfa6172bceee46c5a69d40a4d4f3c15d4801deb9374f16c7f218ad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.1403",
    "kind": "arxiv",
    "version": 2
  }
}