Pith Number

pith:O567CNGZ

pith:2016:O567CNGZPUKEIGTDAYHZV67IFH

not attested not anchored not stored refs pending

Quantitative uniqueness for zero-order perturbations of generalized Baouendi-Grushin operators

Agnid Banerjee, Nicola Garofalo

arxiv:1604.06000 v3 · 2016-04-20 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{O567CNGZPUKEIGTDAYHZV67IFH}

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	2026-05-18T00:52:50.352178Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

777df134d97d14441a63060f9afbe829c5caed3338e84a3793a54194456e8942

Aliases

arxiv: 1604.06000 · arxiv_version: 1604.06000v3 · doi: 10.48550/arxiv.1604.06000 · pith_short_12: O567CNGZPUKE · pith_short_16: O567CNGZPUKEIGTD · pith_short_8: O567CNGZ

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/O567CNGZPUKEIGTDAYHZV67IFH \
  | 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: 777df134d97d14441a63060f9afbe829c5caed3338e84a3793a54194456e8942

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1436196c263ce8324df17ee7d12af473b950f7176932c5256e7ab3f48dd1c9dc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-04-20T15:20:50Z",
    "title_canon_sha256": "b33302b4a713e1c61b8f5d4e6f5b186e87acf88088c80d50d32300ccefae63e6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.06000",
    "kind": "arxiv",
    "version": 3
  }
}