Pith Number

pith:CBR3NFSY

pith:2017:CBR3NFSYWQQEVXHZWYMFBJUKLI

not attested not anchored not stored refs pending

Fourier optimization and prime gaps

Emanuel Carneiro, Kannan Soundararajan, Micah B. Milinovich

arxiv:1708.04122 v2 · 2017-08-14 · 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{CBR3NFSYWQQEVXHZWYMFBJUKLI}

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

Estimates of the asymptotic Nikolskii constants for spherical polynomials

Receipt and verification

First computed	2026-07-05T03:03:36.618765Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1063b69658b4204adcf9b61850a68a5a29e14b6872313c65148fb31b22c355b0

Aliases

arxiv: 1708.04122 · arxiv_version: 1708.04122v2 · doi: 10.48550/arxiv.1708.04122 · pith_short_12: CBR3NFSYWQQE · pith_short_16: CBR3NFSYWQQEVXHZ · pith_short_8: CBR3NFSY

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/CBR3NFSYWQQEVXHZWYMFBJUKLI \
  | 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: 1063b69658b4204adcf9b61850a68a5a29e14b6872313c65148fb31b22c355b0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "04c4082604dad0cfb3ae3eeea6d721de7c9e80ca86814a61847558f913af5f95",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-08-14T14:04:09Z",
    "title_canon_sha256": "345e2049f3dfd3d85fb2ab906b859c053a984658cf3eac0e3481f25ccff710f2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.04122",
    "kind": "arxiv",
    "version": 2
  }
}