Pith Number

pith:DFQ5M3ZI

pith:2012:DFQ5M3ZIC2DELA3COW4S6IISJO

not attested not anchored not stored refs pending

First passage times of two-correlated processes: analytical results for the Wiener process and a numerical method for diffusion processes

Cristina Zucca, Laura Sacerdote, Massimiliano Tamborrino

arxiv:1212.5287 v5 · 2012-12-20 · 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{DFQ5M3ZIC2DELA3COW4S6IISJO}

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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	2026-05-18T00:52:08.739832Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1961d66f28168645836275b92f21124b8135c2697da23b62e98f436b754fa7c9

Aliases

arxiv: 1212.5287 · arxiv_version: 1212.5287v5 · doi: 10.48550/arxiv.1212.5287 · pith_short_12: DFQ5M3ZIC2DE · pith_short_16: DFQ5M3ZIC2DELA3C · pith_short_8: DFQ5M3ZI

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/DFQ5M3ZIC2DELA3COW4S6IISJO \
  | 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: 1961d66f28168645836275b92f21124b8135c2697da23b62e98f436b754fa7c9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b22eddfdeb31b64ff09076bd5809a1277ab55d1372218b31ac2cae766f8b0626",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-12-20T22:21:21Z",
    "title_canon_sha256": "513de2dfa4b35e7c0d89a2939a6bac170e3821f0125db12535dcb0dd1b4022c3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.5287",
    "kind": "arxiv",
    "version": 5
  }
}