Pith Number

pith:ZTAGUPVE

pith:2011:ZTAGUPVE43A4U5K2PLAWMELCA5

not attested not anchored not stored refs pending

Attractivity, invariance and ergodicity for SDEs on Riemannian manifolds

Andreas Prohl, Lubomir Banas, Martin Ondrejat, Zdzislaw Brzezniak

arxiv:1102.0728 v1 · 2011-02-03 · math.PR · math.NA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZTAGUPVE43A4U5K2PLAWMELCA5}

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	2026-05-17T23:45:05.163409Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ccc06a3ea4e6c1ca755a7ac1661162076cd9d6698a6833a8d0901419b4c6abeb

Aliases

arxiv: 1102.0728 · arxiv_version: 1102.0728v1 · doi: 10.48550/arxiv.1102.0728 · pith_short_12: ZTAGUPVE43A4 · pith_short_16: ZTAGUPVE43A4U5K2 · pith_short_8: ZTAGUPVE

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/ZTAGUPVE43A4U5K2PLAWMELCA5 \
  | 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: ccc06a3ea4e6c1ca755a7ac1661162076cd9d6698a6833a8d0901419b4c6abeb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b395fbfc3034605de52ab38f6c615d0d76a9b3ca2c8ef7fdc80ea8276c78f87b",
    "cross_cats_sorted": [
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-02-03T16:42:17Z",
    "title_canon_sha256": "3eb7fe9e33571df46a8749e29a65711e7fcde284d9a0507cd30b9f11b3b63b44"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.0728",
    "kind": "arxiv",
    "version": 1
  }
}