Pith Number

pith:4B7QIW2V

pith:2023:4B7QIW2VGMDMJ7SPK7PZV2PRV2

not attested not anchored not stored refs pending

The Average Size of 2-Selmer Groups of Elliptic Curves in Characteristic 2

Niven Achenjang

arxiv:2310.08493 v3 · 2023-10-12 · math.NT · math.AG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4B7QIW2VGMDMJ7SPK7PZV2PRV2}

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

Quadratic spaces and Selmer groups of abelian varieties with multiplication

Receipt and verification

First computed	2026-07-05T08:55:31.935411Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e07f045b553306c4fe4f57df9ae9f1ae9f1f1e2a40c1c4270473f7528b293ef6

Aliases

arxiv: 2310.08493 · arxiv_version: 2310.08493v3 · doi: 10.48550/arxiv.2310.08493 · pith_short_12: 4B7QIW2VGMDM · pith_short_16: 4B7QIW2VGMDMJ7SP · pith_short_8: 4B7QIW2V

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/4B7QIW2VGMDMJ7SPK7PZV2PRV2 \
  | 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: e07f045b553306c4fe4f57df9ae9f1ae9f1f1e2a40c1c4270473f7528b293ef6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ad846ef474fee990dcdd2080b61d55b1934ffed96a2acf0cb04a03462c9164bf",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2023-10-12T16:50:58Z",
    "title_canon_sha256": "a81ece98c33168cb0e699736d828092476a48221e880d22364817c3dd8b29e0b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2310.08493",
    "kind": "arxiv",
    "version": 3
  }
}