Pith Number

pith:ZRKE4HDB

pith:2014:ZRKE4HDBXOXANWEGKRKUOKFXUR

not attested not anchored not stored refs pending

Continuity and Schatten properties for pseudo-differential operators with symbols in quasi-Banach modulation spaces or H\"ormander classes

Joachim Toft

arxiv:1406.3820 v4 · 2014-06-15 · 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{ZRKE4HDBXOXANWEGKRKUOKFXUR}

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	2026-05-18T01:16:02.974937Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cc544e1c61bbae06d88654554728b7a468505afd418277533662590adb3a65fb

Aliases

arxiv: 1406.3820 · arxiv_version: 1406.3820v4 · doi: 10.48550/arxiv.1406.3820 · pith_short_12: ZRKE4HDBXOXA · pith_short_16: ZRKE4HDBXOXANWEG · pith_short_8: ZRKE4HDB

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/ZRKE4HDBXOXANWEGKRKUOKFXUR \
  | 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: cc544e1c61bbae06d88654554728b7a468505afd418277533662590adb3a65fb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d9621cb380f6b64ce52e63ad7d2bae047817519e87fa3294caad6586705191e7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2014-06-15T14:23:31Z",
    "title_canon_sha256": "972f6bc9565b502a47cc0e082ffacd313f61a3d4662a2b7ec43b0995ec914237"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1406.3820",
    "kind": "arxiv",
    "version": 4
  }
}