Pith Number

pith:D5IZIPII

pith:2018:D5IZIPIIISEE7KXOAHBWTBX6PF

not attested not anchored not stored refs pending

On 5-torsion of CM elliptic curves

Laura Paladino

arxiv:1808.00029 v1 · 2018-07-31 · 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{D5IZIPIIISEE7KXOAHBWTBX6PF}

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	2026-05-18T00:09:08.963866Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1f51943d0844884faaee01c36986fe796a47c7ce4cc91b4bfae5a770d32128d6

Aliases

arxiv: 1808.00029 · arxiv_version: 1808.00029v1 · doi: 10.48550/arxiv.1808.00029 · pith_short_12: D5IZIPIIISEE · pith_short_16: D5IZIPIIISEE7KXO · pith_short_8: D5IZIPII

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/D5IZIPIIISEE7KXOAHBWTBX6PF \
  | 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: 1f51943d0844884faaee01c36986fe796a47c7ce4cc91b4bfae5a770d32128d6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "68d0a111372dd33d037a219766758a82236204715ee62238e88477f5d04c9e27",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-07-31T19:02:45Z",
    "title_canon_sha256": "037bd6544f8c5df2d4f748bd8e3f00e8e7e9ac38bc6c2b19c7f06073e4182cc5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.00029",
    "kind": "arxiv",
    "version": 1
  }
}