Pith Number

pith:5L4KCJE4

pith:2014:5L4KCJE4HEA6GTXPD3H77O7CE6

not attested not anchored not stored refs pending

Optimal Stopping for Strong Markov Processes: Explicit solutions and verification theorems for diffusions, multidimensional diffusions, and jump-processes

Fabi\'an Crocce

arxiv:1405.7539 v1 · 2014-05-29 · 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{5L4KCJE4HEA6GTXPD3H77O7CE6}

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	2026-05-18T02:50:51.022496Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eaf8a1249c3901e34eef1ecfffbbe227951110044b74c74b9024e0d730a49a68

Aliases

arxiv: 1405.7539 · arxiv_version: 1405.7539v1 · doi: 10.48550/arxiv.1405.7539 · pith_short_12: 5L4KCJE4HEA6 · pith_short_16: 5L4KCJE4HEA6GTXP · pith_short_8: 5L4KCJE4

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/5L4KCJE4HEA6GTXPD3H77O7CE6 \
  | 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: eaf8a1249c3901e34eef1ecfffbbe227951110044b74c74b9024e0d730a49a68

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "72cd13ed25ea1ed3c5c120849c1f44af4be750c51604a39a544a5223b5241437",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-05-29T12:40:40Z",
    "title_canon_sha256": "3c2e17837fb5d517a343e2d1345fb2dacea6cf2858b2bff2f2110f5badeff581"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.7539",
    "kind": "arxiv",
    "version": 1
  }
}