Pith Number

pith:5VT3SQFQ

pith:2017:5VT3SQFQCMRHD6PQTGOIOTZ35J

not attested not anchored not stored refs pending

Liftings for ultra-modulation spaces, and one-parameter groups of Gevrey type pseudo-differential operators

Ahmed Abdeljawad, Joachim Toft, Sandro Coriasco

arxiv:1712.04338 v1 · 2017-12-09 · math.FA

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5VT3SQFQCMRHD6PQTGOIOTZ35J}

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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.

Cited by

1 paper in Pith

Bilinear pseudo-differential operators with Gevrey-H\"ormander symbols

Receipt and verification

First computed	2026-05-18T00:28:08.315713Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ed67b940b0132271f9f0999c874f3bea74e57964c7d33a51bb86d34c85406afc

Aliases

arxiv: 1712.04338 · arxiv_version: 1712.04338v1 · doi: 10.48550/arxiv.1712.04338 · pith_short_12: 5VT3SQFQCMRH · pith_short_16: 5VT3SQFQCMRHD6PQ · pith_short_8: 5VT3SQFQ

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/5VT3SQFQCMRHD6PQTGOIOTZ35J \
  | 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: ed67b940b0132271f9f0999c874f3bea74e57964c7d33a51bb86d34c85406afc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "770181916ddbe7847eb4fe83f55d56afece6aa07c8da925295911d582dc645a8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2017-12-09T15:32:15Z",
    "title_canon_sha256": "6bb7f4d1ea617b5ddb5bf980372b77f10f6f1da41ecdd2f12aebffa288268712"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.04338",
    "kind": "arxiv",
    "version": 1
  }
}