Pith Number

pith:OUHIBKXQ

pith:2011:OUHIBKXQW3M2ZR6WELTZJ2B3YX

not attested not anchored not stored refs pending

Stochastic symmetries and transformations of stochastic differential equations

Luis R. Lucinger, Pedro J. Catuogno

arxiv:1112.3687 v1 · 2011-12-15 · 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{OUHIBKXQW3M2ZR6WELTZJ2B3YX}

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	2026-05-18T04:06:09.114375Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

750e80aaf0b6d9acc7d622e794e83bc5ce419169ab705dc82ae9698de8d9e430

Aliases

arxiv: 1112.3687 · arxiv_version: 1112.3687v1 · doi: 10.48550/arxiv.1112.3687 · pith_short_12: OUHIBKXQW3M2 · pith_short_16: OUHIBKXQW3M2ZR6W · pith_short_8: OUHIBKXQ

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/OUHIBKXQW3M2ZR6WELTZJ2B3YX \
  | 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: 750e80aaf0b6d9acc7d622e794e83bc5ce419169ab705dc82ae9698de8d9e430

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "54fa1d5fe2b2203822dc1eb4376645f39cfc412d5a604d27eec00d34f9328061",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-12-15T22:48:37Z",
    "title_canon_sha256": "b98b35a04ee47a45e79ec53f69cd279b8e52823c2f0065027916c345a48d7a20"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.3687",
    "kind": "arxiv",
    "version": 1
  }
}