Pith Number

pith:4QC45HH6

pith:2022:4QC45HH6VRFUIZ7RI2Z33LT4YQ

not attested not anchored not stored refs pending

Small-time approximation of the transition density for diffusions with singularities. Application to the Wright-Fisher model

Gerardo Mart\'inez, Jos\'e Le\'on, Mar\'ia In\'es Fariello, Tania Roa

arxiv:2212.11442 v2 · 2022-12-22 · stat.ME · 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{4QC45HH6VRFUIZ7RI2Z33LT4YQ}

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	2026-07-05T08:34:53.944487Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e405ce9cfeac4b4467f146b3bdae7cc41ca2625c7df9db843c8dd21e2056444e

Aliases

arxiv: 2212.11442 · arxiv_version: 2212.11442v2 · doi: 10.48550/arxiv.2212.11442 · pith_short_12: 4QC45HH6VRFU · pith_short_16: 4QC45HH6VRFUIZ7R · pith_short_8: 4QC45HH6

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/4QC45HH6VRFUIZ7RI2Z33LT4YQ \
  | 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: e405ce9cfeac4b4467f146b3bdae7cc41ca2625c7df9db843c8dd21e2056444e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4d6506736ed7a86bcd35812df3d90531bf92f3f399d44f3a06f84f28d44bba5e",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ME",
    "submitted_at": "2022-12-22T01:21:50Z",
    "title_canon_sha256": "99b9dc4118f1f12e1a6ac8fb305281e4bbcc6c78242b179b88934a1bdeafdcbc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2212.11442",
    "kind": "arxiv",
    "version": 2
  }
}