Pith Number

pith:MW7UZQ7Q

pith:2017:MW7UZQ7Q76U3WLEKWLOKP5CAC6

not attested not anchored not stored refs pending

Continuity of Gevrey-H\"ormander pseudo-differential operators on modulation spaces

Joachim Toft

arxiv:1710.11366 v3 · 2017-10-31 · 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{MW7UZQ7Q76U3WLEKWLOKP5CAC6}

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	2026-05-18T00:15:30.430388Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

65bf4cc3f0ffa9bb2c8ab2dca7f44017a493745d1d953b709ec3ad3e779a28d8

Aliases

arxiv: 1710.11366 · arxiv_version: 1710.11366v3 · doi: 10.48550/arxiv.1710.11366 · pith_short_12: MW7UZQ7Q76U3 · pith_short_16: MW7UZQ7Q76U3WLEK · pith_short_8: MW7UZQ7Q

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/MW7UZQ7Q76U3WLEKWLOKP5CAC6 \
  | 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: 65bf4cc3f0ffa9bb2c8ab2dca7f44017a493745d1d953b709ec3ad3e779a28d8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1c79228afa3aaa291e56a61a072f641598c7f49a20d1449bdca078a6466ded3e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2017-10-31T08:08:38Z",
    "title_canon_sha256": "582374a4ee1b03c0fcab581b0d5fb3d8b5fed37ccc67a1c70be60e948f344cde"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.11366",
    "kind": "arxiv",
    "version": 3
  }
}