Pith Number

pith:LELWOTSO

pith:2021:LELWOTSOCKE2PHQ3OQ6P25MCJL

not attested not anchored not stored refs pending

On the Birch-Swinnerton-Dyer conjecture for modular abelian surfaces

David Loeffler, Sarah Livia Zerbes

arxiv:2110.13102 v3 · 2021-10-25 · 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{LELWOTSOCKE2PHQ3OQ6P25MCJL}

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.

Cited by

1 paper in Pith

The eigencurve at crystalline points with scalar Frobenius and Gross-Stark regulators

Receipt and verification

First computed	2026-07-05T06:30:23.798237Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5917674e4e1289a79e1b743cfd75824ad02b1c07c6bc3e17e90e3159501b6514

Aliases

arxiv: 2110.13102 · arxiv_version: 2110.13102v3 · doi: 10.48550/arxiv.2110.13102 · pith_short_12: LELWOTSOCKE2 · pith_short_16: LELWOTSOCKE2PHQ3 · pith_short_8: LELWOTSO

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/LELWOTSOCKE2PHQ3OQ6P25MCJL \
  | 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: 5917674e4e1289a79e1b743cfd75824ad02b1c07c6bc3e17e90e3159501b6514

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2ade93682e98e44867ae3cb37e016b15516c163aa93ed03617856beafe5b7c0b",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2021-10-25T16:54:39Z",
    "title_canon_sha256": "1833eb5b5f8b61b3f51f44c7afe87e1016e8e83a028f6e5ecc61d98f64bf06a9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2110.13102",
    "kind": "arxiv",
    "version": 3
  }
}