Pith Number

pith:H322LDSQ

pith:2015:H322LDSQZIOXLSUYOI3AIQPZ55

not attested not anchored not stored refs pending

Generalized Heegner cycles at Eisenstein primes and the Katz $p$-adic $L$-function

Daniel Kriz

arxiv:1512.05032 v1 · 2015-12-16 · 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{H322LDSQZIOXLSUYOI3AIQPZ55}

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	2026-05-18T01:18:08.756793Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3ef5a58e50ca1d75ca9872360441f9ef498f362d511831d80a13770a96ff3187

Aliases

arxiv: 1512.05032 · arxiv_version: 1512.05032v1 · doi: 10.48550/arxiv.1512.05032 · pith_short_12: H322LDSQZIOX · pith_short_16: H322LDSQZIOXLSUY · pith_short_8: H322LDSQ

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/H322LDSQZIOXLSUYOI3AIQPZ55 \
  | 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: 3ef5a58e50ca1d75ca9872360441f9ef498f362d511831d80a13770a96ff3187

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2057f978870898095d411a7a827e691a724536675d4e968f2841a7088b51b3f5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-12-16T02:41:37Z",
    "title_canon_sha256": "9660ab7d533088ae4e2dfa3d4df762a4b7209567c0ff3ea2d8c66b630a51edf6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.05032",
    "kind": "arxiv",
    "version": 1
  }
}