Pith Number

pith:EZMMH7F5

pith:2015:EZMMH7F5F4IH65EIYSE6TY3WG6

not attested not anchored not stored refs pending

Probability that the maximum of the reflected Brownian motion over a finite interval $[0,t]$ is achieved by its last zero before $t$

Agn\`es Lagnoux, Pierre Vallois, Sabine Mercier

arxiv:1505.03274 v1 · 2015-05-13 · 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{EZMMH7F5F4IH65EIYSE6TY3WG6}

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	2026-05-18T02:12:09.775023Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2658c3fcbd2f107f7488c489e9e376378421981a3c4b29a9ce01bcc8702e8967

Aliases

arxiv: 1505.03274 · arxiv_version: 1505.03274v1 · doi: 10.48550/arxiv.1505.03274 · pith_short_12: EZMMH7F5F4IH · pith_short_16: EZMMH7F5F4IH65EI · pith_short_8: EZMMH7F5

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/EZMMH7F5F4IH65EIYSE6TY3WG6 \
  | 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: 2658c3fcbd2f107f7488c489e9e376378421981a3c4b29a9ce01bcc8702e8967

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "59c45be3c4db1025dbac20e624cbd298e609ec51069f2928b0d5533821d83640",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-05-13T08:34:31Z",
    "title_canon_sha256": "e419ca5963049e59515cbe52a547151e7dda9c3339ea54407046ae758f46e27a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.03274",
    "kind": "arxiv",
    "version": 1
  }
}