Pith Number

pith:YM3BTIAL

pith:2022:YM3BTIALQISX7AZLWTWH4V7R32

not attested not anchored not stored refs pending

Sharp resolvent estimate for the Baouendi-Grushin operator and applications

Chenmin Sun, Victor Arnaiz

arxiv:2201.08189 v2 · 2022-01-20 · math.AP · math.OC · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YM3BTIALQISX7AZLWTWH4V7R32}

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	2026-07-05T05:35:12.622504Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c33619a00b82257f832bb4ec7e57f1de86f6b01e5f397413daa1ba53b38cca80

Aliases

arxiv: 2201.08189 · arxiv_version: 2201.08189v2 · doi: 10.48550/arxiv.2201.08189 · pith_short_12: YM3BTIALQISX · pith_short_16: YM3BTIALQISX7AZL · pith_short_8: YM3BTIAL

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/YM3BTIALQISX7AZLWTWH4V7R32 \
  | 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: c33619a00b82257f832bb4ec7e57f1de86f6b01e5f397413daa1ba53b38cca80

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bf5e163a507339e8b6b437af12de3c8fa94c1ebc3cd29674d53625aee60f79c2",
    "cross_cats_sorted": [
      "math.OC",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2022-01-20T14:09:25Z",
    "title_canon_sha256": "17503a9afe85a2feab2d1181960d02979b0ffca30999839e96ff4c510313896c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2201.08189",
    "kind": "arxiv",
    "version": 2
  }
}