Pith Number

pith:CL6QCKZX

pith:2014:CL6QCKZXCVKZE6PBFF7HUAWHE4

not attested not anchored not stored refs pending

On cycle integrals of weakly holomorphic modular forms

Ben Kane, Kathrin Bringmann, Pavel Guerzhoy

arxiv:1404.6837 v1 · 2014-04-27 · 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{CL6QCKZXCVKZE6PBFF7HUAWHE4}

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	2026-05-17T23:53:34.933140Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

12fd012b3715559279e1297e7a02c72725a1f5f45dc9857a4142dbfb402c64ab

Aliases

arxiv: 1404.6837 · arxiv_version: 1404.6837v1 · doi: 10.48550/arxiv.1404.6837 · pith_short_12: CL6QCKZXCVKZ · pith_short_16: CL6QCKZXCVKZE6PB · pith_short_8: CL6QCKZX

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/CL6QCKZXCVKZE6PBFF7HUAWHE4 \
  | 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: 12fd012b3715559279e1297e7a02c72725a1f5f45dc9857a4142dbfb402c64ab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2e9d764849a53ee9a3da4f76478d00ebd0ca1ee3d943e064bf0300cf3520962e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-04-27T22:51:03Z",
    "title_canon_sha256": "a736cd20bb7a22e4f6f6217ce48bac805d147a51af3fa0d6dae87a74dbcba778"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.6837",
    "kind": "arxiv",
    "version": 1
  }
}