Pith Number

pith:HMQE7CTZ

pith:2022:HMQE7CTZFABF3S4GACGI7AFLJ6

not attested not anchored not stored refs pending

The distribution of $\ell^\infty$-Selmer groups in degree $\ell$ twist families I

Alexander Smith

arxiv:2207.05674 v2 · 2022-07-12 · 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{HMQE7CTZFABF3S4GACGI7AFLJ6}

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

2 papers in Pith

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

Solvable Descent and the Grunwald Problem for Solvable Groups

Receipt and verification

First computed	2026-07-05T05:39:52.227655Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3b204f8a7928025dcb86008c8f80ab4f97854f080dc0c86ccbb43099d2a38cc0

Aliases

arxiv: 2207.05674 · arxiv_version: 2207.05674v2 · doi: 10.48550/arxiv.2207.05674 · pith_short_12: HMQE7CTZFABF · pith_short_16: HMQE7CTZFABF3S4G · pith_short_8: HMQE7CTZ

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/HMQE7CTZFABF3S4GACGI7AFLJ6 \
  | 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: 3b204f8a7928025dcb86008c8f80ab4f97854f080dc0c86ccbb43099d2a38cc0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1539a16f9ad5659e28b6caed2db1a3898fa51a7ad79bcb58b675e3d2ee6234ea",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2022-07-12T17:00:16Z",
    "title_canon_sha256": "2c4596e8aae8747eaf0aaffc305cfbee9f4e1714d52e5e8a629734e5b29963ad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2207.05674",
    "kind": "arxiv",
    "version": 2
  }
}