Pith Number

pith:DQVP5275

pith:2015:DQVP5275UENXOYGU5WYIO4A7RP

not attested not anchored not stored refs pending

Trigonometric representations of generalized Dedekind and Hardy sums via the discrete Fourier transform

L\'aszl\'o T\'oth, Michael Th. Rassias

arxiv:1512.01466 v1 · 2015-12-04 · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DQVP5275UENXOYGU5WYIO4A7RP}

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	2026-05-18T01:25:16.786330Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1c2afeebfda11b7760d4edb087701f8bdd7036aa7d8b3149f3e2662ccb748275

Aliases

arxiv: 1512.01466 · arxiv_version: 1512.01466v1 · doi: 10.48550/arxiv.1512.01466 · pith_short_12: DQVP5275UENX · pith_short_16: DQVP5275UENXOYGU · pith_short_8: DQVP5275

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/DQVP5275UENXOYGU5WYIO4A7RP \
  | 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: 1c2afeebfda11b7760d4edb087701f8bdd7036aa7d8b3149f3e2662ccb748275

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "614decdf7857e55153130d4d5158d02fd0ac7c01ec05b0353baae172b9ad6a05",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-12-04T16:21:24Z",
    "title_canon_sha256": "77f4d5fb7f42277a9a28944b2bebf95753bd960795471386e236319cfec4eea8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.01466",
    "kind": "arxiv",
    "version": 1
  }
}