Pith Number

pith:WYLBJQXP

pith:2016:WYLBJQXPUJ2N763LOJTF4VYM2R

not attested not anchored not stored refs pending

Diffusions under a local strong H\"ormander condition. Part II: tube estimates

Lucia Caramellino, Paolo Pigato, Vlad Bally

arxiv:1607.04544 v2 · 2016-07-15 · 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{WYLBJQXPUJ2N763LOJTF4VYM2R}

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	2026-05-18T01:10:57.061181Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b61614c2efa274dffb6b72665e570cd44b2fa7131c5ad9b4c5f7549b62724cfd

Aliases

arxiv: 1607.04544 · arxiv_version: 1607.04544v2 · doi: 10.48550/arxiv.1607.04544 · pith_short_12: WYLBJQXPUJ2N · pith_short_16: WYLBJQXPUJ2N763L · pith_short_8: WYLBJQXP

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/WYLBJQXPUJ2N763LOJTF4VYM2R \
  | 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: b61614c2efa274dffb6b72665e570cd44b2fa7131c5ad9b4c5f7549b62724cfd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "77faccf0a8012103c0943915b98bd51879904be8bfff6ac5ddc5a597f654d87b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-07-15T15:05:02Z",
    "title_canon_sha256": "a90db1c456918cf0ecb862f88af08a627b43a3e2e842802d00f17bbd728bf732"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.04544",
    "kind": "arxiv",
    "version": 2
  }
}