Pith Number

pith:MEXHQ5V6

pith:2015:MEXHQ5V6EHJEOQLDXYS6KHESZZ

not attested not anchored not stored refs pending

Couplings of Brownian Motions of deterministic distance in model spaces of constant curvature

Ionel Popescu, Mihai N. Pascu

arxiv:1507.05202 v2 · 2015-07-18 · 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{MEXHQ5V6EHJEOQLDXYS6KHESZZ}

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	2026-05-18T01:32:00.228198Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

612e7876be21d2474163be25e51c92ce4547f59e3cdc13a8e3523dbb8a8ab311

Aliases

arxiv: 1507.05202 · arxiv_version: 1507.05202v2 · doi: 10.48550/arxiv.1507.05202 · pith_short_12: MEXHQ5V6EHJE · pith_short_16: MEXHQ5V6EHJEOQLD · pith_short_8: MEXHQ5V6

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/MEXHQ5V6EHJEOQLDXYS6KHESZZ \
  | 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: 612e7876be21d2474163be25e51c92ce4547f59e3cdc13a8e3523dbb8a8ab311

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5998aefaa6ed4f0c401f0e7c8b6b143959e8b501bb8c8a68a9a773dc524171da",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-07-18T16:22:16Z",
    "title_canon_sha256": "d6bbdf9edbdf3597d770ddcd7513d9c44637fe89eba6f60c1e9014f8bcb9d2cb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.05202",
    "kind": "arxiv",
    "version": 2
  }
}