Pith Number

pith:EHENWRXP

pith:2025:EHENWRXP4M7W5Y7TKW7RJ3VXFD

not attested not anchored not stored refs pending

Selmer groups of families of elliptic curves with an $\ell$-isogeny

Matteo Verzobio, Stephanie Chan

arxiv:2508.21406 v1 · 2025-08-29 · 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{EHENWRXP4M7W5Y7TKW7RJ3VXFD}

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

Tamagawa ratios and unbounded Selmer moments

Receipt and verification

First computed	2026-07-05T12:01:34.323975Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

21c8db46efe33f6ee3f355bf14eeb728d159a200dbc4acf124856f7020694aa1

Aliases

arxiv: 2508.21406 · arxiv_version: 2508.21406v1 · doi: 10.48550/arxiv.2508.21406 · pith_short_12: EHENWRXP4M7W · pith_short_16: EHENWRXP4M7W5Y7T · pith_short_8: EHENWRXP

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/EHENWRXP4M7W5Y7TKW7RJ3VXFD \
  | 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: 21c8db46efe33f6ee3f355bf14eeb728d159a200dbc4acf124856f7020694aa1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3d5103218baebcf9776f40ac4bf6782c691ddb67ef7d00a1583236265faa4411",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2025-08-29T08:23:16Z",
    "title_canon_sha256": "67baf3f3deb480ee1ff0d26e9d5397336aaad9431b8cd9808ac4c529b86cab07"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.21406",
    "kind": "arxiv",
    "version": 1
  }
}