Pith Number

pith:SB5C4MGD

pith:2018:SB5C4MGDWYMSX72KFNUBOP5VX3

not attested not anchored not stored refs pending

Extremal primes of elliptic curves without complex multiplication

A. Gafni, A. Malik, C. David, C. L. Turnage-Butterbaugh, N. Prabhu

arxiv:1807.05255 v3 · 2018-07-13 · 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{SB5C4MGDWYMSX72KFNUBOP5VX3}

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	2026-05-17T23:41:53.953246Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

907a2e30c3b6192bff4a2b68173fb5bee409828f296245a7b74c66251236c015

Aliases

arxiv: 1807.05255 · arxiv_version: 1807.05255v3 · doi: 10.48550/arxiv.1807.05255 · pith_short_12: SB5C4MGDWYMS · pith_short_16: SB5C4MGDWYMSX72K · pith_short_8: SB5C4MGD

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/SB5C4MGDWYMSX72KFNUBOP5VX3 \
  | 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: 907a2e30c3b6192bff4a2b68173fb5bee409828f296245a7b74c66251236c015

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e50bc49cfac45e3047eb3bfe9fd4b2e8965235b7b46827cc220dfa57ee47288f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-07-13T19:27:01Z",
    "title_canon_sha256": "2b4fbd5b7654895157f965bf09f90520309e31e255765681ba06a0c26f937777"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.05255",
    "kind": "arxiv",
    "version": 3
  }
}