Pith Number

pith:N4VVH6AF

pith:2016:N4VVH6AFXILRXBMI7Q5INEDC3N

not attested not anchored not stored refs pending

Projecting the distribution of planar Browian motion at a stopping time through an analytic function

Greg Markowsky

arxiv:1606.03186 v3 · 2016-06-10 · 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{N4VVH6AFXILRXBMI7Q5INEDC3N}

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	2026-05-18T00:52:17.132800Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6f2b53f805ba171b8588fc3a869062db5d9d142d79d06a5c74e4f47e6b927926

Aliases

arxiv: 1606.03186 · arxiv_version: 1606.03186v3 · doi: 10.48550/arxiv.1606.03186 · pith_short_12: N4VVH6AFXILR · pith_short_16: N4VVH6AFXILRXBMI · pith_short_8: N4VVH6AF

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/N4VVH6AFXILRXBMI7Q5INEDC3N \
  | 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: 6f2b53f805ba171b8588fc3a869062db5d9d142d79d06a5c74e4f47e6b927926

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e8a6761678bb713143d1d9700d86dea0bd1f1244b72e2add9c6dfc2a02425627",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-06-10T05:43:42Z",
    "title_canon_sha256": "d8e3eb660eedda84c7fbdfccb4220cc54b55a2eb26d256f768c7b65db5206cac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.03186",
    "kind": "arxiv",
    "version": 3
  }
}