Pith Number

pith:CQJL4C3T

pith:2014:CQJL4C3TYZ5IVG57N4LCHFL5HK

not attested not anchored not stored refs pending

Fourier multipliers, symbols and nuclearity on compact manifolds

Julio Delgado, Michael Ruzhansky

arxiv:1404.6479 v2 · 2014-04-25 · math.FA · math.AP · math.SP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CQJL4C3TYZ5IVG57N4LCHFL5HK}

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	2026-05-18T01:24:14.833624Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1412be0b73c67a8a9bbf6f1623957d3ab0854a8383002fcb48978c1e85201a87

Aliases

arxiv: 1404.6479 · arxiv_version: 1404.6479v2 · doi: 10.48550/arxiv.1404.6479 · pith_short_12: CQJL4C3TYZ5I · pith_short_16: CQJL4C3TYZ5IVG57 · pith_short_8: CQJL4C3T

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/CQJL4C3TYZ5IVG57N4LCHFL5HK \
  | 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: 1412be0b73c67a8a9bbf6f1623957d3ab0854a8383002fcb48978c1e85201a87

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1da63392b067fe83fc4376adc756f272fd4ef26cf98096d8e4d89137537f9205",
    "cross_cats_sorted": [
      "math.AP",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2014-04-25T16:49:46Z",
    "title_canon_sha256": "aa01f4c51c5c4eeeb3d9b4b3f24670396dc969159081db0b3a8814c1c9a8d8b1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.6479",
    "kind": "arxiv",
    "version": 2
  }
}