Pith Number

pith:OHGC7T2H

pith:2015:OHGC7T2HXEHUXWXRTSVZOZ2DNL

not attested not anchored not stored refs pending

On the minimal degree of definition of p-primary torsion subgroups of elliptic curves

Alvaro Lozano-Robledo, Enrique Gonzalez-Jimenez

arxiv:1511.08057 v1 · 2015-11-25 · 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{OHGC7T2HXEHUXWXRTSVZOZ2DNL}

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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	2026-05-18T00:18:04.416864Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

71cc2fcf47b90f4bdaf19cab9767436add0a37e9f6ddf2e62ce673d9abd4eec5

Aliases

arxiv: 1511.08057 · arxiv_version: 1511.08057v1 · doi: 10.48550/arxiv.1511.08057 · pith_short_12: OHGC7T2HXEHU · pith_short_16: OHGC7T2HXEHUXWXR · pith_short_8: OHGC7T2H

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/OHGC7T2HXEHUXWXRTSVZOZ2DNL \
  | 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: 71cc2fcf47b90f4bdaf19cab9767436add0a37e9f6ddf2e62ce673d9abd4eec5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f3cead61ffb0ade234f98a9d0b55d931d56f49f229d3ac7c798683ffa7801a3e",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-11-25T13:46:09Z",
    "title_canon_sha256": "90d47bdd7279c5578adb7420ee6ad8632c3ba30371df12565355dc61c6a97a5a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.08057",
    "kind": "arxiv",
    "version": 1
  }
}