Pith Number

pith:AZEA7NBC

pith:2011:AZEA7NBCKKUPTGAIBPISXKAHEX

not attested not anchored not stored refs pending

Almost periodic pseudodifferential operators and Gevrey classes

Alessandro Oliaro, Luigi Rodino, Patrik Wahlberg

arxiv:1102.4553 v1 · 2011-02-22 · math.FA · 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{AZEA7NBCKKUPTGAIBPISXKAHEX}

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	2026-05-18T04:28:08.659761Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

06480fb42252a8f998080bd12ba80725d81eb8d3ddb462a0f2908fec1d81a074

Aliases

arxiv: 1102.4553 · arxiv_version: 1102.4553v1 · doi: 10.48550/arxiv.1102.4553 · pith_short_12: AZEA7NBCKKUP · pith_short_16: AZEA7NBCKKUPTGAI · pith_short_8: AZEA7NBC

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/AZEA7NBCKKUPTGAIBPISXKAHEX \
  | 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: 06480fb42252a8f998080bd12ba80725d81eb8d3ddb462a0f2908fec1d81a074

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4df3a2f74d91e19451f7e345e301f93d787496a7886abc677cd33f0a552bd9a4",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2011-02-22T17:06:39Z",
    "title_canon_sha256": "2d363087fa5c94ba31e588c1c56721e75a65e2ee0552eb6729a2f855a3bac5f0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.4553",
    "kind": "arxiv",
    "version": 1
  }
}