Pith Number

pith:SFBUQ6YL

pith:2018:SFBUQ6YLGSUIN3BI65IB7JN4JM

not attested not anchored not stored refs pending

Triple correlation and long gaps in the spectrum of flat tori

Christoph Aistleitner, Maksym Radziwi{\l}{\l}, Valentin Blomer

arxiv:1809.07881 v1 · 2018-09-20 · math.NT · math-ph · math.AP · math.MP · math.PR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SFBUQ6YLGSUIN3BI65IB7JN4JM}

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	2026-05-18T00:05:11.031351Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9143487b0b34a886ec28f7501fa5bc4b035a21082c1f1da3515968aef9ff4dd3

Aliases

arxiv: 1809.07881 · arxiv_version: 1809.07881v1 · doi: 10.48550/arxiv.1809.07881 · pith_short_12: SFBUQ6YLGSUI · pith_short_16: SFBUQ6YLGSUIN3BI · pith_short_8: SFBUQ6YL

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/SFBUQ6YLGSUIN3BI65IB7JN4JM \
  | 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: 9143487b0b34a886ec28f7501fa5bc4b035a21082c1f1da3515968aef9ff4dd3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0631abce7b31053b2adbd6c34eb4a51fb80f28f7d3d83e024050e91527bb5690",
    "cross_cats_sorted": [
      "math-ph",
      "math.AP",
      "math.MP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-09-20T22:09:20Z",
    "title_canon_sha256": "d1e42acfa8d30cdbd176bac2da855b0d9857faeea4d14fca777fdc0151f127c8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.07881",
    "kind": "arxiv",
    "version": 1
  }
}