Pith Number

pith:Y2VKIDZ5

pith:2025:Y2VKIDZ5H3MPJVX3ARCXODOBYW

not attested not anchored not stored refs pending

On the Distribution of a Two-Dimensional Random Walk with Restricted Angles

Karl-Ludwig Besser

arxiv:2507.15475 v2 · 2025-07-21 · eess.SP · math.PR · stat.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Y2VKIDZ5H3MPJVX3ARCXODOBYW}

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	2026-05-20T00:01:34.884370Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c6aaa40f3d3ed8f4d6fb0445770dc1c5930055582e26b341abb5eb3e6cf1f7e6

Aliases

arxiv: 2507.15475 · arxiv_version: 2507.15475v2 · doi: 10.48550/arxiv.2507.15475 · pith_short_12: Y2VKIDZ5H3MP · pith_short_16: Y2VKIDZ5H3MPJVX3 · pith_short_8: Y2VKIDZ5

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/Y2VKIDZ5H3MPJVX3ARCXODOBYW \
  | 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: c6aaa40f3d3ed8f4d6fb0445770dc1c5930055582e26b341abb5eb3e6cf1f7e6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a0172df6cac72d40feadd873c40a1428d34f9cf049383fc3840ffefe85386126",
    "cross_cats_sorted": [
      "math.PR",
      "stat.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "eess.SP",
    "submitted_at": "2025-07-21T10:27:49Z",
    "title_canon_sha256": "72e6b5ec0c52394b2904d7de2285120dcef60f51306dbbeaa55f6d29e8f5232b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.15475",
    "kind": "arxiv",
    "version": 2
  }
}