Pith Number

pith:QLPDTANC

pith:2025:QLPDTANCKXO4H43JOEH2DYEMMC

not attested not anchored not stored refs pending

$L$-functions of elliptic curves in ring class extensions of real quadratic fields via regularized theta liftings

Jeanine Van Order

arxiv:2510.10277 v2 · 2025-10-11 · 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{QLPDTANCKXO4H43JOEH2DYEMMC}

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	2026-06-09T02:08:33.983186Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

82de3981a255ddc3f369710fa1e08c60a58cfceaf9e2ec604b5cf427c589d819

Aliases

arxiv: 2510.10277 · arxiv_version: 2510.10277v2 · doi: 10.48550/arxiv.2510.10277 · pith_short_12: QLPDTANCKXO4 · pith_short_16: QLPDTANCKXO4H43J · pith_short_8: QLPDTANC

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/QLPDTANCKXO4H43JOEH2DYEMMC \
  | 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: 82de3981a255ddc3f369710fa1e08c60a58cfceaf9e2ec604b5cf427c589d819

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8e297e9575d949fe806b7fc8f94fabfd44502c21bdaf7120d2ac6668f466ca11",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2025-10-11T16:24:04Z",
    "title_canon_sha256": "33bedf9d4f35f58c76461f12396caaa9bea90e8b5b9540dfd0f69f2c754afb95"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2510.10277",
    "kind": "arxiv",
    "version": 2
  }
}