Pith Number

pith:I6T5DUUI

pith:2012:I6T5DUUISEGDYAGKU7VVX77H57

not attested not anchored not stored refs pending

Optimal stopping problems for a Brownian motion with a disorder on a finite interval

A. N. Shiryaev, M. V. Zhitlukhin

arxiv:1212.3709 v1 · 2012-12-15 · math.ST · math.PR · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{I6T5DUUISEGDYAGKU7VVX77H57}

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	2026-05-18T03:38:22.610280Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

47a7d1d288910c3c00caa7eb5bffe7eff63722b9946df6d0746de980fbca0984

Aliases

arxiv: 1212.3709 · arxiv_version: 1212.3709v1 · doi: 10.48550/arxiv.1212.3709 · pith_short_12: I6T5DUUISEGD · pith_short_16: I6T5DUUISEGDYAGK · pith_short_8: I6T5DUUI

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/I6T5DUUISEGDYAGKU7VVX77H57 \
  | 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: 47a7d1d288910c3c00caa7eb5bffe7eff63722b9946df6d0746de980fbca0984

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8eb23e60b037c8263717873f722389d4c82b703d7079587dfd1785c68d9011c7",
    "cross_cats_sorted": [
      "math.PR",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2012-12-15T17:47:40Z",
    "title_canon_sha256": "5f0985b450f2f591fce185a96a416e6119213417033f8d9dc6c3d1487abc32e8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.3709",
    "kind": "arxiv",
    "version": 1
  }
}