Pith Number

pith:RFIF7MDC

pith:2024:RFIF7MDCUNQLPGQNQDG63PXKWC

not attested not anchored not stored refs pending

Fourier optimization and consequences of the generalized Riemann hypothesis

Emily Quesada-Herrera

arxiv:2411.05095 v1 · 2024-11-07 · math.NT · 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{RFIF7MDCUNQLPGQNQDG63PXKWC}

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	2026-07-05T09:32:53.379637Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

89505fb062a360b79a0d80cdedbeeab09539ccf76297e17c48e5389b657d635c

Aliases

arxiv: 2411.05095 · arxiv_version: 2411.05095v1 · doi: 10.48550/arxiv.2411.05095 · pith_short_12: RFIF7MDCUNQL · pith_short_16: RFIF7MDCUNQLPGQN · pith_short_8: RFIF7MDC

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/RFIF7MDCUNQLPGQNQDG63PXKWC \
  | 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: 89505fb062a360b79a0d80cdedbeeab09539ccf76297e17c48e5389b657d635c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "61832bd6e8a964f046141764c40dc017eba3d9dcc7bae39241484bea1d5917c8",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2024-11-07T19:23:22Z",
    "title_canon_sha256": "3c4d00f2cd6bf01af65d9680dd52370bd0a68f5320003ba45492de2f05edb4d5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2411.05095",
    "kind": "arxiv",
    "version": 1
  }
}