Pith Number

pith:HMOST6HS

pith:2013:HMOST6HSPILHBM6B52UC4YS6R4

not attested not anchored not stored refs pending

On Selmer groups of abelian varieties over $\ell$-adic Lie extensions of global function fields

Andrea Bandini, Maria Valentino

arxiv:1307.2441 v1 · 2013-07-09 · 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{HMOST6HSPILHBM6B52UC4YS6R4}

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	2026-05-18T03:18:52.535801Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3b1d29f8f27a1670b3c1eea82e625e8f3050a1d96fa0906afb61ab2688e98067

Aliases

arxiv: 1307.2441 · arxiv_version: 1307.2441v1 · doi: 10.48550/arxiv.1307.2441 · pith_short_12: HMOST6HSPILH · pith_short_16: HMOST6HSPILHBM6B · pith_short_8: HMOST6HS

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/HMOST6HSPILHBM6B52UC4YS6R4 \
  | 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: 3b1d29f8f27a1670b3c1eea82e625e8f3050a1d96fa0906afb61ab2688e98067

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "06f95e9e7075e634c01541523e0857bfebe5dc095b3ec39620f5f1461f9ed124",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-07-09T13:14:46Z",
    "title_canon_sha256": "efdeb85eeed651c74b81b9ba966a1563e4a76309377aa0f97161a365c38cfe8d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.2441",
    "kind": "arxiv",
    "version": 1
  }
}