Pith Number

pith:YF7GNWFO

pith:2017:YF7GNWFOHBFOUDJZCBBK467HJ5

not attested not anchored not stored refs pending

Conormal distributions in the Shubin calculus of pseudodifferential operators

Marco Cappiello, Patrik Wahlberg, Ren\'e Schulz

arxiv:1702.03111 v1 · 2017-02-10 · math-ph · math.AP · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YF7GNWFOHBFOUDJZCBBK467HJ5}

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	2026-05-18T00:21:14.639086Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c17e66d8ae384aea0d391042ae7be74f44355c74b0e6af995bb692ae669cc54d

Aliases

arxiv: 1702.03111 · arxiv_version: 1702.03111v1 · doi: 10.48550/arxiv.1702.03111 · pith_short_12: YF7GNWFOHBFO · pith_short_16: YF7GNWFOHBFOUDJZ · pith_short_8: YF7GNWFO

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/YF7GNWFOHBFOUDJZCBBK467HJ5 \
  | 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: c17e66d8ae384aea0d391042ae7be74f44355c74b0e6af995bb692ae669cc54d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b6a416fa0fe135f0632ebd01c2da6f27f72e196505c3a224f60a01d2307b1b55",
    "cross_cats_sorted": [
      "math.AP",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2017-02-10T09:29:32Z",
    "title_canon_sha256": "3b1a86d2e9df3864317cbc8516f098558d86e4a0a3a5dbffdcf989193cdf8980"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.03111",
    "kind": "arxiv",
    "version": 1
  }
}