Pith Number

pith:B5Q4VRM5

pith:2025:B5Q4VRM55TQXGOTMKX63XLNG7Y

not attested not anchored not stored refs pending

Effective equidistribution of random walks on simple homogeneous spaces

Timoth\'ee B\'enard, Weikun He

arxiv:2511.13512 v3 · 2025-11-17 · math.DS · math.CA · 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{B5Q4VRM55TQXGOTMKX63XLNG7Y}

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	2026-05-27T01:05:39.892253Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0f61cac59dece1733a6c55fdbbada6fe08c138e2c66c2dc7441fce0a50f996ad

Aliases

arxiv: 2511.13512 · arxiv_version: 2511.13512v3 · doi: 10.48550/arxiv.2511.13512 · pith_short_12: B5Q4VRM55TQX · pith_short_16: B5Q4VRM55TQXGOTM · pith_short_8: B5Q4VRM5

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/B5Q4VRM55TQXGOTMKX63XLNG7Y \
  | 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: 0f61cac59dece1733a6c55fdbbada6fe08c138e2c66c2dc7441fce0a50f996ad

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "797ef68af71f45c6dd9dc63a9b5e282739ff63571d9ad4b024cb05da9258b8a7",
    "cross_cats_sorted": [
      "math.CA",
      "math.PR"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2025-11-17T15:47:26Z",
    "title_canon_sha256": "0553a010e3c8bad8898d5782b0c49b02d6ed10aeae064deee51ffbd74e5fd9d5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2511.13512",
    "kind": "arxiv",
    "version": 3
  }
}