Pith Number

pith:W7SLPCAO

pith:2013:W7SLPCAOTL4X3UZ3MVZ3V5BOPH

not attested not anchored not stored refs pending

Random Walks and Subfractional Brownian Motion

Hongshuai Dai

arxiv:1303.5161 v3 · 2013-03-21 · 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{W7SLPCAOTL4X3UZ3MVZ3V5BOPH}

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	2026-05-18T03:02:07.394647Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b7e4b7880e9af97dd33b6573baf42e79e8b9bf87110e0f3a3a0a69b4dd469ce3

Aliases

arxiv: 1303.5161 · arxiv_version: 1303.5161v3 · doi: 10.48550/arxiv.1303.5161 · pith_short_12: W7SLPCAOTL4X · pith_short_16: W7SLPCAOTL4X3UZ3 · pith_short_8: W7SLPCAO

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/W7SLPCAOTL4X3UZ3MVZ3V5BOPH \
  | 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: b7e4b7880e9af97dd33b6573baf42e79e8b9bf87110e0f3a3a0a69b4dd469ce3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "06d38a2a92ab39ec27e9ae03eb74fe9892b1190c7ccb4e04b7613c8a8f113d05",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-03-21T04:40:26Z",
    "title_canon_sha256": "4af3f881730cd4879abee79cefd8a748009bff63f2d8a73a26c66cf0a93603e0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.5161",
    "kind": "arxiv",
    "version": 3
  }
}