Pith Number

pith:HE3SPV4U

pith:2024:HE3SPV4UAZTKZJK4J2NIJPDTYK

not attested not anchored not stored refs pending

Brenke polynomials with real zeros and the Riemann Hypothesis

Antonio J. Dur\'an

arxiv:2405.18940 v1 · 2024-05-29 · math.CA · math.CV · 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{HE3SPV4UAZTKZJK4J2NIJPDTYK}

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.

Cited by

1 paper in Pith

Zeros of linear combinations of Laguerre polynomials

Receipt and verification

First computed	2026-07-05T08:24:45.573435Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

393727d7940666aca55c4e9a84bc73c290ad7298899dc1eddc2a8e9efb9a47d3

Aliases

arxiv: 2405.18940 · arxiv_version: 2405.18940v1 · doi: 10.48550/arxiv.2405.18940 · pith_short_12: HE3SPV4UAZTK · pith_short_16: HE3SPV4UAZTKZJK4 · pith_short_8: HE3SPV4U

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/HE3SPV4UAZTKZJK4J2NIJPDTYK \
  | 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: 393727d7940666aca55c4e9a84bc73c290ad7298899dc1eddc2a8e9efb9a47d3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5e28a4e89a7b093c351c994c9f4b1d9031da8011d76c5d77b6638b8434a44d83",
    "cross_cats_sorted": [
      "math.CV",
      "math.NT"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2024-05-29T09:49:25Z",
    "title_canon_sha256": "e3c692aa0cbeb277789575e31a77a037580e59dd40f73dfbf557ac64c2aae127"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2405.18940",
    "kind": "arxiv",
    "version": 1
  }
}