Pith Number

pith:KMQCMWBQ

pith:2010:KMQCMWBQPEI5QVJBKJLHAMM4QQ

not attested not anchored not stored refs pending

Stochastic poisson equations associated to lie algebroids and some refinements of a principal bundle

Dumitru Opris, Gheorghe Ivan

arxiv:1012.3384 v1 · 2010-12-15 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KMQCMWBQPEI5QVJBKJLHAMM4QQ}

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	2026-05-18T04:33:16.971472Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

53202658307911d85521525670319c842b50ad5ffb459c535ec72fd157ecdc69

Aliases

arxiv: 1012.3384 · arxiv_version: 1012.3384v1 · doi: 10.48550/arxiv.1012.3384 · pith_short_12: KMQCMWBQPEI5 · pith_short_16: KMQCMWBQPEI5QVJB · pith_short_8: KMQCMWBQ

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/KMQCMWBQPEI5QVJBKJLHAMM4QQ \
  | 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: 53202658307911d85521525670319c842b50ad5ffb459c535ec72fd157ecdc69

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f6996de5425a3bc7e6c1c20ec29cf85962b9e6bc273c182b444b5bcce6870847",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2010-12-15T16:46:36Z",
    "title_canon_sha256": "9eac0dfd62126e0ba93202d83b4aa5ba4222c53658d5414facbb56c4b3c7a1e3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.3384",
    "kind": "arxiv",
    "version": 1
  }
}