Pith Number

pith:BPFKRMV3

pith:2022:BPFKRMV3KMTOPV5CWAUNAMQJ7N

not attested not anchored not stored refs pending

Spectral asymptotics for kinetic Brownian motion on locally symmetric spaces

Qiuyu Ren, Zhongkai Tao

arxiv:2208.13111 v1 · 2022-08-28 · math.SP · 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{BPFKRMV3KMTOPV5CWAUNAMQJ7N}

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	2026-07-05T04:52:03.588264Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0bcaa8b2bb5326e7d7a2b028d03209fb5d521e3ea4cf235b588a9bc721c1b9e1

Aliases

arxiv: 2208.13111 · arxiv_version: 2208.13111v1 · doi: 10.48550/arxiv.2208.13111 · pith_short_12: BPFKRMV3KMTO · pith_short_16: BPFKRMV3KMTOPV5C · pith_short_8: BPFKRMV3

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/BPFKRMV3KMTOPV5CWAUNAMQJ7N \
  | 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: 0bcaa8b2bb5326e7d7a2b028d03209fb5d521e3ea4cf235b588a9bc721c1b9e1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4eb29d976bef3b3742b2fd762cc8d3a56ccbb22b2accb9e2e551ba0f990e7b35",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2022-08-28T01:23:38Z",
    "title_canon_sha256": "cb2b0515ba1d1972cde05d85175ed33edff274002959d9f128fa1f091304c99d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2208.13111",
    "kind": "arxiv",
    "version": 1
  }
}