Pith Number

pith:BZTPCCL2

pith:2018:BZTPCCL23JAXGROZUR4VXHMOHG

not attested not anchored not stored refs pending

Highly oscillatory unimodular Fourier multipliers on modulation spaces

Anita Tabacco, Eva Primo, Fabio Nicola

arxiv:1801.06424 v1 · 2018-01-19 · 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{BZTPCCL23JAXGROZUR4VXHMOHG}

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	2026-05-18T00:25:30.182252Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0e66f1097ada417345d9a4795b9d8e3981a17fbe5594e689be107475933cbae4

Aliases

arxiv: 1801.06424 · arxiv_version: 1801.06424v1 · doi: 10.48550/arxiv.1801.06424 · pith_short_12: BZTPCCL23JAX · pith_short_16: BZTPCCL23JAXGROZ · pith_short_8: BZTPCCL2

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/BZTPCCL23JAXGROZUR4VXHMOHG \
  | 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: 0e66f1097ada417345d9a4795b9d8e3981a17fbe5594e689be107475933cbae4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "77c8f51916e4f76641d9599f909c3a7267357706878426e703f6d2c4e982dbd2",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2018-01-19T14:45:08Z",
    "title_canon_sha256": "765ad826bfa60d283657f6fd6252e3a22c01b42272e5507dd0403f63f1f28b32"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.06424",
    "kind": "arxiv",
    "version": 1
  }
}