Pith Number

pith:VVVACSXM

pith:2026:VVVACSXM2G3GZ63JAYUXODRCHX

not attested not anchored not stored refs pending

Arithmetic statistics of isogeny Selmer groups associated to hyperelliptic curves

Mart\'i Oller

arxiv:2606.06327 v1 · 2026-06-04 · 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{VVVACSXM2G3GZ63JAYUXODRCHX}

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.

Receipt and verification

First computed	2026-06-05T01:15:42.001047Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ad6a014aecd1b66cfb690629770e223defc9ec4238d4187f2ec0b5e01cab07ec

Aliases

arxiv: 2606.06327 · arxiv_version: 2606.06327v1 · doi: 10.48550/arxiv.2606.06327 · pith_short_12: VVVACSXM2G3G · pith_short_16: VVVACSXM2G3GZ63J · pith_short_8: VVVACSXM

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/VVVACSXM2G3GZ63JAYUXODRCHX \
  | 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: ad6a014aecd1b66cfb690629770e223defc9ec4238d4187f2ec0b5e01cab07ec

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2b723cb7b6fafdf8f31efc19ed174a59a1208c3ad3dfd2ff748fb5d5fa3f0d21",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2026-06-04T16:01:13Z",
    "title_canon_sha256": "072ab952bf75940b7b10015dbbeafc21ee3f23a2ef48581892ceb2fe5a2a19f9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.06327",
    "kind": "arxiv",
    "version": 1
  }
}