Pith Number

pith:DU7BCW6A

pith:2017:DU7BCW6AAIOOHYA2E7F6DCOJ3Z

not attested not anchored not stored refs pending

Asymptotic behaviour for operators of Grushin type: invariant measure and singular perturbations

Claudio Marchi, Nicoletta Tchou, Paola Mannucci

arxiv:1702.08809 v1 · 2017-02-28 · 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{DU7BCW6AAIOOHYA2E7F6DCOJ3Z}

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	2026-05-18T00:49:47.829133Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1d3e115bc0021ce3e01a27cbe189c9de5c0cc0773ffaca68499792693e7d17b5

Aliases

arxiv: 1702.08809 · arxiv_version: 1702.08809v1 · doi: 10.48550/arxiv.1702.08809 · pith_short_12: DU7BCW6AAIOO · pith_short_16: DU7BCW6AAIOOHYA2 · pith_short_8: DU7BCW6A

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/DU7BCW6AAIOOHYA2E7F6DCOJ3Z \
  | 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: 1d3e115bc0021ce3e01a27cbe189c9de5c0cc0773ffaca68499792693e7d17b5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7b8c34ad8e4686be3cd895b3f8b82d8a400ffffcdbf5cf12b8f287bb5abd0329",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-02-28T14:59:30Z",
    "title_canon_sha256": "9340d80063de8c4e52594967bfe9f3cdf22bbb38d15ee01f414c20e091c37ef3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.08809",
    "kind": "arxiv",
    "version": 1
  }
}