Pith Number

pith:LP7MCNZH

pith:2009:LP7MCNZHSOC5UUPONCJ5XYZXRT

not attested not anchored not stored refs pending

A Pluzhnikov's Theorem, Brownian motions and Martingales in Lie Group with skew-symmetric connections

S.N. Stelmastchuk

arxiv:0912.2665 v1 · 2009-12-14 · math.DG · 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{LP7MCNZHSOC5UUPONCJ5XYZXRT}

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	2026-05-18T03:25:04.522541Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5bfec137279385da51ee6893dbe3378cc570fccdb08c7504f8afe3af65eb4343

Aliases

arxiv: 0912.2665 · arxiv_version: 0912.2665v1 · doi: 10.48550/arxiv.0912.2665 · pith_short_12: LP7MCNZHSOC5 · pith_short_16: LP7MCNZHSOC5UUPO · pith_short_8: LP7MCNZH

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/LP7MCNZHSOC5UUPONCJ5XYZXRT \
  | 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: 5bfec137279385da51ee6893dbe3378cc570fccdb08c7504f8afe3af65eb4343

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0ad4b065de48dd46e70f187e57ccad71effb0298dd4e6940c75eac04b055c055",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2009-12-14T15:31:38Z",
    "title_canon_sha256": "e39578b0d6bd229c33fd7f67fceaa0af6198047413e9a93e7999110c47e78e6f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0912.2665",
    "kind": "arxiv",
    "version": 1
  }
}