Pith Number

pith:Z4P5WESW

pith:2018:Z4P5WESWKOYOAYKO5E2DDIM663

not attested not anchored not stored refs pending

A Direct Proof of the Reflection Principle for Brownian Motion

Duncan Wright, S. J. Dilworth

arxiv:1810.01783 v1 · 2018-10-01 · math.PR · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Z4P5WESWKOYOAYKO5E2DDIM663}

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	2026-05-18T00:04:10.984888Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cf1fdb125653b0e0614ee93431a19ef6e5051fe3d605ed6705e1ec33132db14d

Aliases

arxiv: 1810.01783 · arxiv_version: 1810.01783v1 · doi: 10.48550/arxiv.1810.01783 · pith_short_12: Z4P5WESWKOYO · pith_short_16: Z4P5WESWKOYOAYKO · pith_short_8: Z4P5WESW

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/Z4P5WESWKOYOAYKO5E2DDIM663 \
  | 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: cf1fdb125653b0e0614ee93431a19ef6e5051fe3d605ed6705e1ec33132db14d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "57fe1c6acbed8ffc8e6ceb6f0cda487ebb099ebcd7acd09d6aaed2434305aba4",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2018-10-01T21:40:02Z",
    "title_canon_sha256": "6e22ce79ca843849dbc15858c137d5a291533b5fd719f49c7941b63fa1396c14"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.01783",
    "kind": "arxiv",
    "version": 1
  }
}