Pith Number

pith:SLBG4IQE

pith:2014:SLBG4IQEAUUBLJZRSTH3ODR6GO

not attested not anchored not stored refs pending

Elliptic Curves with Everywhere Good Reduction

Amanda Clemm, Sarah Trebat-Leder

arxiv:1410.0651 v3 · 2014-10-02 · 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{SLBG4IQEAUUBLJZRSTH3ODR6GO}

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	2026-05-18T02:39:25.226904Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

92c26e2204052815a73194cfb70e3e33a3d238f76b39137cc1ccb353e78d8bc6

Aliases

arxiv: 1410.0651 · arxiv_version: 1410.0651v3 · doi: 10.48550/arxiv.1410.0651 · pith_short_12: SLBG4IQEAUUB · pith_short_16: SLBG4IQEAUUBLJZR · pith_short_8: SLBG4IQE

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/SLBG4IQEAUUBLJZRSTH3ODR6GO \
  | 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: 92c26e2204052815a73194cfb70e3e33a3d238f76b39137cc1ccb353e78d8bc6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "00bc8127c3bb5c6fc48a6950820c868a46fe39195ea26cffd131a59ba489e48a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-10-02T19:17:13Z",
    "title_canon_sha256": "c877bc6fbdfe2cd3fae8d0bd945fd78fda20f82ef889a87d915b7efaf2248f46"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.0651",
    "kind": "arxiv",
    "version": 3
  }
}