Pith Number

pith:4RFE6AO6

pith:2023:4RFE6AO6FCRBHKWKL5ZFE37IAX

not attested not anchored not stored refs pending

Fourier optimization and Montgomery's pair correlation conjecture

Antonio Pedro Ramos, Emanuel Carneiro, Micah B. Milinovich

arxiv:2310.01913 v2 · 2023-10-03 · 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{4RFE6AO6FCRBHKWKL5ZFE37IAX}

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	2026-07-05T06:57:27.298697Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e44a4f01de28a213aaca5f72526fe805ca657b06133e4abe48b257f6ccfd5e5e

Aliases

arxiv: 2310.01913 · arxiv_version: 2310.01913v2 · doi: 10.48550/arxiv.2310.01913 · pith_short_12: 4RFE6AO6FCRB · pith_short_16: 4RFE6AO6FCRBHKWK · pith_short_8: 4RFE6AO6

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/4RFE6AO6FCRBHKWKL5ZFE37IAX \
  | 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: e44a4f01de28a213aaca5f72526fe805ca657b06133e4abe48b257f6ccfd5e5e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "517e68753eff3a88776f0b277f0077f8b44a088137ba4087f1fc66d4139f8d9d",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2023-10-03T09:36:57Z",
    "title_canon_sha256": "6f03c3d48723ce2db01e275f443e16ea2ee18b85f01bb2644bea435d0823c1da"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2310.01913",
    "kind": "arxiv",
    "version": 2
  }
}