Pith Number

pith:F77NTORG

pith:2022:F77NTORG5S42XY3JGHD5MSU2PF

not attested not anchored not stored refs pending

The distribution of $\ell^{\infty}$-Selmer groups in degree $\ell$ twist families II

Alexander Smith

arxiv:2207.05143 v2 · 2022-07-11 · 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{F77NTORG5S42XY3JGHD5MSU2PF}

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

Infinitely many hyperelliptic curves of small genus and small fixed rank, and of any genus and rank two

Receipt and verification

First computed	2026-07-05T05:39:52.168396Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2ffed9ba26ecb9abe36931c7d64a9a7944ff249cf59b312d4d6d71b16976b793

Aliases

arxiv: 2207.05143 · arxiv_version: 2207.05143v2 · doi: 10.48550/arxiv.2207.05143 · pith_short_12: F77NTORG5S42 · pith_short_16: F77NTORG5S42XY3J · pith_short_8: F77NTORG

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/F77NTORG5S42XY3JGHD5MSU2PF \
  | 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: 2ffed9ba26ecb9abe36931c7d64a9a7944ff249cf59b312d4d6d71b16976b793

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c1e6f4a10dad816741cef7019141a1155c4b007335188f2258f42f139fbdde68",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2022-07-11T19:14:24Z",
    "title_canon_sha256": "bbec296801cc61f79d27de518912c1fa1b9a9e946381dde6651037fbbc5ce835"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2207.05143",
    "kind": "arxiv",
    "version": 2
  }
}