Pith Number

pith:HQ6QE4PQ

pith:2018:HQ6QE4PQ3BNMCG2FYDM3E3QNRL

not attested not anchored not stored refs pending

Metric number theory of Fourier coefficients of modular forms

Paloma Bengoechea

arxiv:1807.07518 v3 · 2018-07-19 · 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{HQ6QE4PQ3BNMCG2FYDM3E3QNRL}

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	2026-05-17T23:49:33.481150Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3c3d0271f0d85ac11b45c0d9b26e0d8ae4d9f8adedb057cfcdecc1415d306947

Aliases

arxiv: 1807.07518 · arxiv_version: 1807.07518v3 · doi: 10.48550/arxiv.1807.07518 · pith_short_12: HQ6QE4PQ3BNM · pith_short_16: HQ6QE4PQ3BNMCG2F · pith_short_8: HQ6QE4PQ

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/HQ6QE4PQ3BNMCG2FYDM3E3QNRL \
  | 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: 3c3d0271f0d85ac11b45c0d9b26e0d8ae4d9f8adedb057cfcdecc1415d306947

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c083a8591b95339ddfc171b64408d4b13cf4d52ef5e02061ad17ff32cb317649",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-07-19T16:22:03Z",
    "title_canon_sha256": "b64ae088828233072c2702f6bc733fdbcc919341d4e89365ba571970d53adfc1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.07518",
    "kind": "arxiv",
    "version": 3
  }
}