Pith Number

pith:Z4YBADUF

pith:2016:Z4YBADUFGXTK5PNTELN4ZAEZLK

not attested not anchored not stored refs pending

Clark formula for local time for one class of Gaussian processes

Andrey Dorogovtsev, Georgii Riabov, Naoufel Salhi, Olga Izyumtseva

arxiv:1608.01145 v1 · 2016-08-03 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Z4YBADUFGXTK5PNTELN4ZAEZLK}

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	2026-05-18T01:09:56.430706Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cf30100e8535e6aebdb322dbcc80995a9316ed25a696f08123a109a8878219df

Aliases

arxiv: 1608.01145 · arxiv_version: 1608.01145v1 · doi: 10.48550/arxiv.1608.01145 · pith_short_12: Z4YBADUFGXTK · pith_short_16: Z4YBADUFGXTK5PNT · pith_short_8: Z4YBADUF

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/Z4YBADUFGXTK5PNTELN4ZAEZLK \
  | 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: cf30100e8535e6aebdb322dbcc80995a9316ed25a696f08123a109a8878219df

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1fc6df5cf10f18e15500d02d1441b81b13ac8add7760bd8fd84400f40cf0150b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-08-03T11:04:02Z",
    "title_canon_sha256": "7640da4b47a6905c718d25af306598aa4ffaeaf76c5247ccf30cbf5f2c1e310b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.01145",
    "kind": "arxiv",
    "version": 1
  }
}