Pith Number

pith:RHJ5ABFT

pith:2017:RHJ5ABFTHRHP5TD2YTEOKFBTDF

not attested not anchored not stored refs pending

On the Dirichlet form of three-dimensional Brownian motion conditioned to hit the origin

Liping Li, Patrick J. Fitzsimmons

arxiv:1709.08379 v3 · 2017-09-25 · 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{RHJ5ABFTHRHP5TD2YTEOKFBTDF}

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	2026-05-17T23:59:39.523286Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

89d3d004b33c4efecc7ac4c8e5143319578b2c59efcdcdf21b810b606b7b3472

Aliases

arxiv: 1709.08379 · arxiv_version: 1709.08379v3 · doi: 10.48550/arxiv.1709.08379 · pith_short_12: RHJ5ABFTHRHP · pith_short_16: RHJ5ABFTHRHP5TD2 · pith_short_8: RHJ5ABFT

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/RHJ5ABFTHRHP5TD2YTEOKFBTDF \
  | 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: 89d3d004b33c4efecc7ac4c8e5143319578b2c59efcdcdf21b810b606b7b3472

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4a15d033406bc6703ae281d2a19696886a8ef007e403d8c1ee19cd298b2b863a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2017-09-25T08:54:08Z",
    "title_canon_sha256": "285dfe9d94a17556e005e66a18f037bb2d5bf165be4ea65b528e43cf4e77c2b5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.08379",
    "kind": "arxiv",
    "version": 3
  }
}