Pith Number

pith:OONJTPTI

pith:2026:OONJTPTIGVLWVIEGU2RB3PU33C

not attested not anchored not stored refs pending

Collision properties of the four-dimensional random walk trace

Daisuke Shiraishi, David A. Croydon, Satomi Watanabe

arxiv:2605.30755 v1 · 2026-05-29 · 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{OONJTPTIGVLWVIEGU2RB3PU33C}

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	2026-06-01T01:03:14.596137Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

739a99be6835576aa086a6a21dbe9bd892d69d3898cf01430fd71d0836750b3b

Aliases

arxiv: 2605.30755 · arxiv_version: 2605.30755v1 · doi: 10.48550/arxiv.2605.30755 · pith_short_12: OONJTPTIGVLW · pith_short_16: OONJTPTIGVLWVIEG · pith_short_8: OONJTPTI

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/OONJTPTIGVLWVIEGU2RB3PU33C \
  | 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: 739a99be6835576aa086a6a21dbe9bd892d69d3898cf01430fd71d0836750b3b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d01d3078e5b168fcd39fea904753728dbcbf3248e7e1276486413c822ab692a0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2026-05-29T02:36:06Z",
    "title_canon_sha256": "ba480ab16b2ed9aa736a602434afbddf5a384058e05a79ca6c06199e9f960df9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.30755",
    "kind": "arxiv",
    "version": 1
  }
}