Pith Number

pith:RCD67TZ5

pith:2012:RCD67TZ52J3QF73GSDITFUHCSZ

not attested not anchored not stored refs pending

An averaging principle for diffusions in foliated spaces

Ivan I. Gonzales-Gargate, Paulo R. Ruffino

arxiv:1212.1587 v5 · 2012-12-07 · math.DS · 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{RCD67TZ52J3QF73GSDITFUHCSZ}

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	2026-05-18T01:21:03.114780Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8887efcf3dd27702ff6690d132d0e296649b2601881cb970586481009434f6d1

Aliases

arxiv: 1212.1587 · arxiv_version: 1212.1587v5 · doi: 10.48550/arxiv.1212.1587 · pith_short_12: RCD67TZ52J3Q · pith_short_16: RCD67TZ52J3QF73G · pith_short_8: RCD67TZ5

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/RCD67TZ52J3QF73GSDITFUHCSZ \
  | 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: 8887efcf3dd27702ff6690d132d0e296649b2601881cb970586481009434f6d1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "989a1e940491e504df1776ccc2b8e3612bfb8c593fd3592a2bdc2791674383c7",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2012-12-07T11:57:42Z",
    "title_canon_sha256": "765819a38fd3ef71536a79fe81db923bc61a7bde9783c134fb7cba8de29d8fb4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.1587",
    "kind": "arxiv",
    "version": 5
  }
}