Pith Number

pith:CCENKTY2

pith:2013:CCENKTY2IQOPWIT6M2FP4RTW72

not attested not anchored not stored refs pending

Fourier transforms of positive definite kernels and the Riemann $\xi$-Function

George Csordas

arxiv:1309.0055 v2 · 2013-08-31 · math.CV · 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{CCENKTY2IQOPWIT6M2FP4RTW72}

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	2026-05-18T02:58:23.412843Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1088d54f1a441cfb227e668afe4676fea188cb2cbdeee23e1bde426eef312bdd

Aliases

arxiv: 1309.0055 · arxiv_version: 1309.0055v2 · doi: 10.48550/arxiv.1309.0055 · pith_short_12: CCENKTY2IQOP · pith_short_16: CCENKTY2IQOPWIT6 · pith_short_8: CCENKTY2

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/CCENKTY2IQOPWIT6M2FP4RTW72 \
  | 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: 1088d54f1a441cfb227e668afe4676fea188cb2cbdeee23e1bde426eef312bdd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8fe54b7b42a39355304302df2100727538a82664fef773538a96ed845c662e23",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2013-08-31T02:37:39Z",
    "title_canon_sha256": "5a59fd7f5fe496545cfdfa2f827b32a07765ea5db11d4fb20550c1a13a9fa30e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.0055",
    "kind": "arxiv",
    "version": 2
  }
}