Pith Number

pith:67TNEIQ5

pith:2017:67TNEIQ5VEY42Y2KTTFRTCTZI7

not attested not anchored not stored refs pending

Chernoff approximation for semigroups generated by killed Feller processes and Feynman formulae for time-fractional Fokker-Planck-Kolmogorov equations

Yana A. Butko

arxiv:1708.02503 v1 · 2017-08-08 · math.PR · cs.NA · math-ph · math.AP · math.FA · math.MP · 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{67TNEIQ5VEY42Y2KTTFRTCTZI7}

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	2026-06-04T18:11:13.813269Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f7e6d2221da931cd634a9ccb198a7947cfaa52c04d9009a0b86c9a6b53d1c215

Aliases

arxiv: 1708.02503 · arxiv_version: 1708.02503v1 · doi: 10.48550/arxiv.1708.02503 · pith_short_12: 67TNEIQ5VEY4 · pith_short_16: 67TNEIQ5VEY42Y2K · pith_short_8: 67TNEIQ5

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/67TNEIQ5VEY42Y2KTTFRTCTZI7 \
  | 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: f7e6d2221da931cd634a9ccb198a7947cfaa52c04d9009a0b86c9a6b53d1c215

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "087fa5cb7c935d1290fd4ddce6485302449682ad952d0613ed6a39f65d0c9866",
    "cross_cats_sorted": [
      "cs.NA",
      "math-ph",
      "math.AP",
      "math.FA",
      "math.MP",
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2017-08-08T14:31:52Z",
    "title_canon_sha256": "d3c669ffea73177391958ed23b061201771cf2715d601309290e26b3e1bf925e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.02503",
    "kind": "arxiv",
    "version": 1
  }
}