Pith Number

pith:SG4MDYS5

pith:2016:SG4MDYS5DO6AOQPJOUAFV2CJZV

not attested not anchored not stored refs pending

Torsion subgroups of elliptic curves over quintic and sextic number fields

Andrew V. Sutherland, Maarten Derickx

arxiv:1608.07549 v3 · 2016-08-26 · 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{SG4MDYS5DO6AOQPJOUAFV2CJZV}

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	2026-05-18T00:34:31.603077Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

91b8c1e25d1bbc0741e975005ae849cd5a91a68ea4510921db0262e4366eccb9

Aliases

arxiv: 1608.07549 · arxiv_version: 1608.07549v3 · doi: 10.48550/arxiv.1608.07549 · pith_short_12: SG4MDYS5DO6A · pith_short_16: SG4MDYS5DO6AOQPJ · pith_short_8: SG4MDYS5

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/SG4MDYS5DO6AOQPJOUAFV2CJZV \
  | 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: 91b8c1e25d1bbc0741e975005ae849cd5a91a68ea4510921db0262e4366eccb9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d1a7469c9c021b41c31920b75b7db980a2102f92e16a963152d7889cd28e6607",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-08-26T18:18:29Z",
    "title_canon_sha256": "9758a42239542211ac055369f23c80b18eb383ffa53873524f0e20fb7380242e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.07549",
    "kind": "arxiv",
    "version": 3
  }
}