Pith Number

pith:XU42MG3H

pith:2012:XU42MG3HDRYLDWTOXPQVK2MHQD

not attested not anchored not stored refs pending

The cut-off phenomenon for Brownian motions on symmetric spaces of compact type

Pierre-Lo\"ic M\'eliot

arxiv:1210.0480 v2 · 2012-10-01 · 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{XU42MG3HDRYLDWTOXPQVK2MHQD}

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	2026-05-18T03:34:35.271651Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bd39a61b671c70b1da6ebbe155698780f4c9a3fb56f9452e3b3592bd39907a57

Aliases

arxiv: 1210.0480 · arxiv_version: 1210.0480v2 · doi: 10.48550/arxiv.1210.0480 · pith_short_12: XU42MG3HDRYL · pith_short_16: XU42MG3HDRYLDWTO · pith_short_8: XU42MG3H

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/XU42MG3HDRYLDWTOXPQVK2MHQD \
  | 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: bd39a61b671c70b1da6ebbe155698780f4c9a3fb56f9452e3b3592bd39907a57

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b280624f16d815ff76e667e787ead7e5664d24ea3fecb3006f1c62f705456950",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-10-01T17:48:54Z",
    "title_canon_sha256": "f447cce89bcb26a4d7aa327c25de276e7a65f7a8afcdab55dfd3f4b060aff986"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.0480",
    "kind": "arxiv",
    "version": 2
  }
}