Pith Number

pith:5EFXBIZ5

pith:2012:5EFXBIZ5DU7FWRBLUM7L6EDG2H

not attested not anchored not stored refs pending

On large deviations for small noise It\^o processes

Alberto Chiarini, Markus Fischer

arxiv:1212.3223 v3 · 2012-12-13 · 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{5EFXBIZ5DU7FWRBLUM7L6EDG2H}

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	2026-05-18T02:30:08.714764Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e90b70a33d1d3e5b442ba33ebf1066d1e01f255fe685be008e4adcb57b43e477

Aliases

arxiv: 1212.3223 · arxiv_version: 1212.3223v3 · doi: 10.48550/arxiv.1212.3223 · pith_short_12: 5EFXBIZ5DU7F · pith_short_16: 5EFXBIZ5DU7FWRBL · pith_short_8: 5EFXBIZ5

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/5EFXBIZ5DU7FWRBLUM7L6EDG2H \
  | 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: e90b70a33d1d3e5b442ba33ebf1066d1e01f255fe685be008e4adcb57b43e477

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5fec2ae6ac9f311435d2564a2f373d4fb5b1a4cc8da6fb056a1d12f4195d890d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-12-13T17:12:50Z",
    "title_canon_sha256": "65fba6ba4595e5d6e02fd7de3f7ba29db69f7e6579f6c067c6e71d21ca5bad8e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.3223",
    "kind": "arxiv",
    "version": 3
  }
}