Pith Number

pith:KCJPERCG

pith:2012:KCJPERCG3S2QV3S5GABGGASRKH

not attested not anchored not stored refs pending

Reflecting diffusions and hyperbolic Brownian motions in multidimensional spheres

Alessandro De Gregorio, Enzo Orsingher, Olga Aryasova

arxiv:1207.4000 v1 · 2012-07-17 · 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{KCJPERCG3S2QV3S5GABGGASRKH}

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	2026-05-18T03:50:49.281940Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5092f24446dcb50aee5d300263025151eca31c2e6c1c5b212eb5f2b844e4653e

Aliases

arxiv: 1207.4000 · arxiv_version: 1207.4000v1 · doi: 10.48550/arxiv.1207.4000 · pith_short_12: KCJPERCG3S2Q · pith_short_16: KCJPERCG3S2QV3S5 · pith_short_8: KCJPERCG

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/KCJPERCG3S2QV3S5GABGGASRKH \
  | 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: 5092f24446dcb50aee5d300263025151eca31c2e6c1c5b212eb5f2b844e4653e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dd1658a8b98f30251b44218479668d226499ebc1917f59786b48cffba606e148",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-07-17T14:17:25Z",
    "title_canon_sha256": "50f6da9777017319d0a2a13bf5fcfd3c768751f2508696f8121a5f9a1ca28b51"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.4000",
    "kind": "arxiv",
    "version": 1
  }
}