Pith Number

pith:NYK4T7FT

pith:2013:NYK4T7FTULKVZWSQ7R2VCREN4I

not attested not anchored not stored refs pending

Averaging principle for diffusion processes via Dirichlet forms

Florent Barret (MPI-MIS), Max-K. von Renesse

arxiv:1307.4248 v2 · 2013-07-16 · 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{NYK4T7FTULKVZWSQ7R2VCREN4I}

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	2026-05-18T02:55:36.293650Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6e15c9fcb3a2d55cda50fc7551448de213efb5c2ae58d97377c3861e42c75a7d

Aliases

arxiv: 1307.4248 · arxiv_version: 1307.4248v2 · doi: 10.48550/arxiv.1307.4248 · pith_short_12: NYK4T7FTULKV · pith_short_16: NYK4T7FTULKVZWSQ · pith_short_8: NYK4T7FT

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/NYK4T7FTULKVZWSQ7R2VCREN4I \
  | 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: 6e15c9fcb3a2d55cda50fc7551448de213efb5c2ae58d97377c3861e42c75a7d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "26181bc7891e9f8b51241c57ae7075dc6efb3905ee484a61dd0bfe20782fef1c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-07-16T11:47:35Z",
    "title_canon_sha256": "5c0ca080ce2c3b5b91d9ac75c65c57ab297dd1a8859993307cf86e30d7c25863"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.4248",
    "kind": "arxiv",
    "version": 2
  }
}