Pith Number

pith:IOK7DRZR

pith:2016:IOK7DRZRIBU7UFV4UKC7AOIXEK

not attested not anchored not stored refs pending

Elliptic curves in isogeny classes

Igor E. Shparlinski, Liangyi Zhao

arxiv:1611.05258 v1 · 2016-11-16 · 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{IOK7DRZRIBU7UFV4UKC7AOIXEK}

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	2026-05-18T00:11:11.847697Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4395f1c7314069fa16bca285f0391722b26447869ce10b37d0f1c16574724a0f

Aliases

arxiv: 1611.05258 · arxiv_version: 1611.05258v1 · doi: 10.48550/arxiv.1611.05258 · pith_short_12: IOK7DRZRIBU7 · pith_short_16: IOK7DRZRIBU7UFV4 · pith_short_8: IOK7DRZR

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/IOK7DRZRIBU7UFV4UKC7AOIXEK \
  | 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: 4395f1c7314069fa16bca285f0391722b26447869ce10b37d0f1c16574724a0f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9b660cf3ff29f6574bb0269ecc2e2a72ba8d7554e54eb8e189af4a0c5d7ff153",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-11-16T12:57:31Z",
    "title_canon_sha256": "7e8cb358375ccc6bfae9eee646445c9e53763e4d7cd647a0b92490d20c6f9603"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.05258",
    "kind": "arxiv",
    "version": 1
  }
}