Pith Number

pith:SCY5XWWC

pith:2019:SCY5XWWC6SGR62IVHPCJDJPKRX

not attested not anchored not stored refs pending

Critical $L$-values for some quadratic twists of Gross curves

Andrzej D\k{a}browski, Lucjan Szymaszkiewicz, Tomasz J\k{e}drzejak

arxiv:1904.08691 v1 · 2019-04-18 · 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{SCY5XWWC6SGR62IVHPCJDJPKRX}

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	2026-05-17T23:48:13.365650Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

90b1dbdac2f48d1f69153bc491a5ea8dc3fb9fb19f328047ef571f2079192503

Aliases

arxiv: 1904.08691 · arxiv_version: 1904.08691v1 · doi: 10.48550/arxiv.1904.08691 · pith_short_12: SCY5XWWC6SGR · pith_short_16: SCY5XWWC6SGR62IV · pith_short_8: SCY5XWWC

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/SCY5XWWC6SGR62IVHPCJDJPKRX \
  | 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: 90b1dbdac2f48d1f69153bc491a5ea8dc3fb9fb19f328047ef571f2079192503

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a1e5f4600f5004c55a8baea3001166bcac3feac059b4df4b95facb6faeb84099",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2019-04-18T11:13:10Z",
    "title_canon_sha256": "cced15d50f6e3c6c58015242489e5f4e31bf9cb2305ca41fb9770c945b8bbd7e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.08691",
    "kind": "arxiv",
    "version": 1
  }
}