Pith Number

pith:4URHOSZM

pith:2017:4URHOSZMIPDF2BF3HFT74EESEE

not attested not anchored not stored refs pending

Controlling the time discretization bias for the supremum of Brownian Motion

Daan Crommelin, Krzysztof Bisewski, Michel Mandjes

arxiv:1705.06567 v2 · 2017-05-18 · math.PR · stat.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4URHOSZMIPDF2BF3HFT74EESEE}

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	2026-05-17T23:49:12.098129Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e522774b2c43c65d04bb3967fe109221162ac271f42c831b6af720012d58289b

Aliases

arxiv: 1705.06567 · arxiv_version: 1705.06567v2 · doi: 10.48550/arxiv.1705.06567 · pith_short_12: 4URHOSZMIPDF · pith_short_16: 4URHOSZMIPDF2BF3 · pith_short_8: 4URHOSZM

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/4URHOSZMIPDF2BF3HFT74EESEE \
  | 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: e522774b2c43c65d04bb3967fe109221162ac271f42c831b6af720012d58289b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e8826f3779b96478b6bd1e30214d1ccbe8ffacce6d3f24928b243614df887c8d",
    "cross_cats_sorted": [
      "stat.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2017-05-18T13:10:17Z",
    "title_canon_sha256": "7cbe6d288db17e5c1174852d8158322c7427b3d58b1bed8c74a5580f7fe90a78"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.06567",
    "kind": "arxiv",
    "version": 2
  }
}