pith. sign in
Pith Number

pith:YDA2APUL

pith:2018:YDA2APULOEXIU3OQ5SONEM2FZS
not attested not anchored not stored refs pending

Random transformations and invariance of semimartingales on Lie groups

Francesco C. De Vecchi, Paola Morando, Sergio Albeverio, Stefania Ugolini

arxiv:1812.11066 v1 · 2018-12-22 · math.PR

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{YDA2APULOEXIU3OQ5SONEM2FZS}

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 2026-05-17T23:57:16.408596Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

c0c1a03e8b712e8a6dd0ec9cd23345ccbc3d89fd9fd3fd49977d5d96fde7afe1

Aliases

arxiv: 1812.11066 · arxiv_version: 1812.11066v1 · doi: 10.48550/arxiv.1812.11066 · pith_short_12: YDA2APULOEXI · pith_short_16: YDA2APULOEXIU3OQ · pith_short_8: YDA2APUL
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/YDA2APULOEXIU3OQ5SONEM2FZS \
  | 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: c0c1a03e8b712e8a6dd0ec9cd23345ccbc3d89fd9fd3fd49977d5d96fde7afe1
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "9b966e095ba29bfdca177f04611a99ee205af8f4e701cdd5baf4bc158f1a822b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2018-12-22T17:09:33Z",
    "title_canon_sha256": "619798f079bf0b5c6fb8912de7a27fd1f7912a4c662f7cc64cc8df0ef1ba04bd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.11066",
    "kind": "arxiv",
    "version": 1
  }
}