Pith Number

pith:HQOLFD2I

pith:2015:HQOLFD2IRCH32BHR5QNM74UR5N

not attested not anchored not stored refs pending

Discrete characterizations of wave front sets of Fourier-Lebesgue and quasianalytic type

Andreas Debrouwere, Jasson Vindas

arxiv:1509.03276 v2 · 2015-09-05 · math.AP · 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{HQOLFD2IRCH32BHR5QNM74UR5N}

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	2026-05-18T01:12:34.858375Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3c1cb28f48888fbd04f1ec1acff291eb55f394f3d1bf2d8fe55392812f758d6f

Aliases

arxiv: 1509.03276 · arxiv_version: 1509.03276v2 · doi: 10.48550/arxiv.1509.03276 · pith_short_12: HQOLFD2IRCH3 · pith_short_16: HQOLFD2IRCH32BHR · pith_short_8: HQOLFD2I

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/HQOLFD2IRCH32BHR5QNM74UR5N \
  | 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: 3c1cb28f48888fbd04f1ec1acff291eb55f394f3d1bf2d8fe55392812f758d6f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2c5bbd49af05f72624d6c7dd5aea0c5d70f78bd0c4ce1e98140f064e917809cf",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-09-05T15:52:52Z",
    "title_canon_sha256": "f6419d1296ca414789d995769e44e945c96e81d34ac8e980bfcb98d44e1fc6d5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.03276",
    "kind": "arxiv",
    "version": 2
  }
}