Pith Number

pith:P6WJ5G4N

pith:2019:P6WJ5G4NTENZ4YJXTLM6V7HGLP

not attested not anchored not stored refs pending

On convergence almost everywhere of multiple Fourier Integrals

Anvarjon Ahmedov, Mohd Noriznan Mohtar, Norashikin Abdul Aziz

arxiv:1907.09307 v1 · 2019-07-19 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{P6WJ5G4NTENZ4YJXTLM6V7HGLP}

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	2026-05-17T23:39:59.532553Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7fac9e9b8d991b9e61379ad9eafce65bdfb90b69dd6b91e22accdd6bbf22eb19

Aliases

arxiv: 1907.09307 · arxiv_version: 1907.09307v1 · doi: 10.48550/arxiv.1907.09307 · pith_short_12: P6WJ5G4NTENZ · pith_short_16: P6WJ5G4NTENZ4YJX · pith_short_8: P6WJ5G4N

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/P6WJ5G4NTENZ4YJXTLM6V7HGLP \
  | 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: 7fac9e9b8d991b9e61379ad9eafce65bdfb90b69dd6b91e22accdd6bbf22eb19

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "029fa46c797001a9484853a2755b35a9328d8be32528bde86e50d5e732309274",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2019-07-19T15:13:55Z",
    "title_canon_sha256": "108f6ac3b3a3ddb0a95363c37dac83da8b7cc3d03992eab58707fef21535b9bb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.09307",
    "kind": "arxiv",
    "version": 1
  }
}