Pith Number

pith:LGXVI2S4

pith:2022:LGXVI2S4DVMRDN2YISYABPH23U

not attested not anchored not stored refs pending

On the vanishing of twisted $L$-functions of elliptic curves over rational function fields

Antoine Comeau-Lapointe, Chantal David, Matilde Lalin, Wanlin Li

arxiv:2207.00197 v1 · 2022-07-01 · 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{LGXVI2S4DVMRDN2YISYABPH23U}

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	2026-07-05T04:36:40.432265Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

59af546a5c1d5911b75844b000bcfadd350bd89f21cc9bc3503212cfcd84fb92

Aliases

arxiv: 2207.00197 · arxiv_version: 2207.00197v1 · doi: 10.48550/arxiv.2207.00197 · pith_short_12: LGXVI2S4DVMR · pith_short_16: LGXVI2S4DVMRDN2Y · pith_short_8: LGXVI2S4

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/LGXVI2S4DVMRDN2YISYABPH23U \
  | 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: 59af546a5c1d5911b75844b000bcfadd350bd89f21cc9bc3503212cfcd84fb92

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "59035a6be5a2cd901cd635b3c26b7c6da236345f985defb3a92db1cdfbcb09e8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2022-07-01T04:18:55Z",
    "title_canon_sha256": "82a606fb223ef743f75fa90448f5ee2a695f712b8df25e3136a714bb2ccaa2eb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2207.00197",
    "kind": "arxiv",
    "version": 1
  }
}