Pith Number

pith:NECZUFUZ

pith:2011:NECZUFUZUXBPMVLFUHV2RMZHHO

not attested not anchored not stored refs pending

On $L^p$ resolvent estimates for Laplace-Beltrami operators on compact manifolds

Carlos E. Kenig, David Dos Santos Ferreira, Mikko Salo

arxiv:1112.3216 v1 · 2011-12-14 · 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{NECZUFUZUXBPMVLFUHV2RMZHHO}

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	2026-05-18T04:06:19.805745Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

69059a1699a5c2f65565a1eba8b3273b8b343e5846fe50c11d3a410decbaa833

Aliases

arxiv: 1112.3216 · arxiv_version: 1112.3216v1 · doi: 10.48550/arxiv.1112.3216 · pith_short_12: NECZUFUZUXBP · pith_short_16: NECZUFUZUXBPMVLF · pith_short_8: NECZUFUZ

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/NECZUFUZUXBPMVLFUHV2RMZHHO \
  | 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: 69059a1699a5c2f65565a1eba8b3273b8b343e5846fe50c11d3a410decbaa833

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "25f47d6a29d8dcc0c95bd42b7b3a02ed8dd58ac0f932caa2c1e5f87d5c6efac6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-12-14T14:02:20Z",
    "title_canon_sha256": "9d9494cb924849621a1bcb4653c557961a081e661da119359994440f5140ac7d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.3216",
    "kind": "arxiv",
    "version": 1
  }
}