Pith Number

pith:6IE6R7XE

pith:2014:6IE6R7XE7ILFOA64UKC2IPTN2J

not attested not anchored not stored refs pending

Sharp Weyl Estimates for Tensor Products of Pseudodifferential Operators

M. Borsero, S. Coriasco, U. Battisti

arxiv:1411.2133 v2 · 2014-11-08 · math.SP · math.AP · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6IE6R7XE7ILFOA64UKC2IPTN2J}

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	2026-05-18T01:14:53.358649Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f209e8fee4fa165703dca285a43e6dd25e5e3c0a421a11d429208a5aa63430ad

Aliases

arxiv: 1411.2133 · arxiv_version: 1411.2133v2 · doi: 10.48550/arxiv.1411.2133 · pith_short_12: 6IE6R7XE7ILF · pith_short_16: 6IE6R7XE7ILFOA64 · pith_short_8: 6IE6R7XE

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/6IE6R7XE7ILFOA64UKC2IPTN2J \
  | 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: f209e8fee4fa165703dca285a43e6dd25e5e3c0a421a11d429208a5aa63430ad

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ac30e555fb1c20109f91dea715dec25d131f4807f490842e6766408f101e4719",
    "cross_cats_sorted": [
      "math.AP",
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2014-11-08T16:23:10Z",
    "title_canon_sha256": "de2c74b3a7fdd72941248ec081f871b9f3ed07d1bf0fdb721e26df28799b8eda"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.2133",
    "kind": "arxiv",
    "version": 2
  }
}