Pith Number

pith:LERTHJTT

pith:2012:LERTHJTTPES6RN7XMDVMIO55TM

not attested not anchored not stored refs pending

Shy and Fixed-Distance Couplings of Brownian Motions on Manifolds

Ionel Popescu, Mihai N. Pascu

arxiv:1210.7217 v7 · 2012-10-26 · 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{LERTHJTTPES6RN7XMDVMIO55TM}

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	2026-05-18T01:32:01.528350Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

592333a6737925e8b7f760eac43bbd9b3e2a497c10e1dd03b3749ea16c5ea6f7

Aliases

arxiv: 1210.7217 · arxiv_version: 1210.7217v7 · doi: 10.48550/arxiv.1210.7217 · pith_short_12: LERTHJTTPES6 · pith_short_16: LERTHJTTPES6RN7X · pith_short_8: LERTHJTT

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/LERTHJTTPES6RN7XMDVMIO55TM \
  | 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: 592333a6737925e8b7f760eac43bbd9b3e2a497c10e1dd03b3749ea16c5ea6f7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f02e5f894d419fecd857b01af2db61c6d947560b0a2ef7cd9973dec13ad97c76",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-10-26T19:11:49Z",
    "title_canon_sha256": "1e871e59af0c1db35bf7be0e9678aae69536d011f823e1dec33b0cf1e6c49979"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.7217",
    "kind": "arxiv",
    "version": 7
  }
}