Pith Number

pith:BBEU66FR

pith:2016:BBEU66FRDT6R2POUEB6IIRLY3Q

not attested not anchored not stored refs pending

2-Selmer groups of hyperelliptic curves with two marked points

Ananth N. Shankar

arxiv:1611.03172 v1 · 2016-11-10 · 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{BBEU66FRDT6R2POUEB6IIRLY3Q}

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	2026-05-18T00:59:41.130675Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

08494f78b11cfd1d3dd4207c844578dc2b954b84c90530d1cced391492c2351c

Aliases

arxiv: 1611.03172 · arxiv_version: 1611.03172v1 · doi: 10.48550/arxiv.1611.03172 · pith_short_12: BBEU66FRDT6R · pith_short_16: BBEU66FRDT6R2POU · pith_short_8: BBEU66FR

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/BBEU66FRDT6R2POUEB6IIRLY3Q \
  | 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: 08494f78b11cfd1d3dd4207c844578dc2b954b84c90530d1cced391492c2351c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e65698343d93b357cac0ae46b4a202b3aac1d74a5eb8850119d75b42c9dc224a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-11-10T03:17:17Z",
    "title_canon_sha256": "3eb097465961515a478460f37a5fe2e2b1a8ce85f0d8fc52d7e1057f041211d3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.03172",
    "kind": "arxiv",
    "version": 1
  }
}