Pith Number

pith:I77KSBV7

pith:2011:I77KSBV7NB7NWRZO52N4Q736P2

not attested not anchored not stored refs pending

Algebras of semiclassical pseudodifferential operators associated with Zoll-type domains in cotangent bundles

Alejandro Uribe, Gerardo Hern\'andez-Due\~nas

arxiv:1105.5471 v1 · 2011-05-27 · math.FA · 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{I77KSBV7NB7NWRZO52N4Q736P2}

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	2026-05-18T04:21:11.617395Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

47fea906bf687edb472eee9bc87f7e7e9ba7d46f4e03a2ff5b62ee9775b6fa66

Aliases

arxiv: 1105.5471 · arxiv_version: 1105.5471v1 · doi: 10.48550/arxiv.1105.5471 · pith_short_12: I77KSBV7NB7N · pith_short_16: I77KSBV7NB7NWRZO · pith_short_8: I77KSBV7

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/I77KSBV7NB7NWRZO52N4Q736P2 \
  | 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: 47fea906bf687edb472eee9bc87f7e7e9ba7d46f4e03a2ff5b62ee9775b6fa66

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4a5fc24b8c1c17492039a27f88db6eae217d7ac59ac3109d9bb261d7b185b474",
    "cross_cats_sorted": [
      "math-ph",
      "math.AP",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2011-05-27T03:15:51Z",
    "title_canon_sha256": "22b618b4d770729200103e89dbabe5765be4722beb3878286dc0e31249ebb05a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.5471",
    "kind": "arxiv",
    "version": 1
  }
}