Pith Number

pith:K4PWMSDD

pith:2015:K4PWMSDD2K5ARWKYXBZUJHUB6M

not attested not anchored not stored refs pending

The first-passage time of the Brownian motion to a curved boundary: an algorithmic approach

Etienne Tanr\'e, Samuel Herrmann

arxiv:1501.07060 v2 · 2015-01-28 · 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{K4PWMSDD2K5ARWKYXBZUJHUB6M}

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	2026-05-18T01:22:14.713853Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

571f664863d2ba08d958b873449e81f30edea409b10e1c26383c628c63e398df

Aliases

arxiv: 1501.07060 · arxiv_version: 1501.07060v2 · doi: 10.48550/arxiv.1501.07060 · pith_short_12: K4PWMSDD2K5A · pith_short_16: K4PWMSDD2K5ARWKY · pith_short_8: K4PWMSDD

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/K4PWMSDD2K5ARWKYXBZUJHUB6M \
  | 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: 571f664863d2ba08d958b873449e81f30edea409b10e1c26383c628c63e398df

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a1718f24fd06205135dcf8b67bd0903179e96ffc0bbb26ecc332f057784cb69b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-01-28T10:42:55Z",
    "title_canon_sha256": "11efa2c2bc0825505a03ef9a34c683a10043748f89d2e387b5140e6fcf1ec218"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.07060",
    "kind": "arxiv",
    "version": 2
  }
}