Pith Number

pith:4DY6IU2J

pith:2026:4DY6IU2JK5WMYFMUWKZ5ATVYTM

not attested not anchored not stored refs pending

Hyperbolic Arcsine Kernels, Finite Fourier Filters, and Quartic Central Binomial Harmonic Sums

K. Srinivasa Raghava

arxiv:2607.09904 v1 · 2026-07-10 · 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{4DY6IU2JK5WMYFMUWKZ5ATVYTM}

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	2026-07-14T00:18:42.322480Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e0f1e45349576ccc1594b2b3d04eb89b13c9a8c496e2bff74eae55313bdd2bd0

Aliases

arxiv: 2607.09904 · arxiv_version: 2607.09904v1 · doi: 10.48550/arxiv.2607.09904 · pith_short_12: 4DY6IU2JK5WM · pith_short_16: 4DY6IU2JK5WMYFMU · pith_short_8: 4DY6IU2J

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/4DY6IU2JK5WMYFMUWKZ5ATVYTM \
  | 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: e0f1e45349576ccc1594b2b3d04eb89b13c9a8c496e2bff74eae55313bdd2bd0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2e149b8b067bad0205850fcbd78db0748b16c6b261e95925fb7755bb07b0ded4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2026-07-10T18:53:19Z",
    "title_canon_sha256": "a4848c85d8af37fdb76a35aa75fbbc18e687aa3c85ceb21f58bd9718891de7c6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.09904",
    "kind": "arxiv",
    "version": 1
  }
}