Pith Number

pith:JYYLUR7Z

pith:2026:JYYLUR7Z4KQAX2VJDVIVGWANJS

not attested not anchored not stored refs pending

Divisibility Biases in the Orders of Elliptic Curve Reductions

Nara Sheen, Sung Min Lee

arxiv:2606.25067 v1 · 2026-06-23 · 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{JYYLUR7Z4KQAX2VJDVIVGWANJS}

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	2026-06-25T00:18:16.834682Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4e30ba47f9e2a00beaa91d5153580d4cae4fccb59546baf98c5e5f464095262e

Aliases

arxiv: 2606.25067 · arxiv_version: 2606.25067v1 · doi: 10.48550/arxiv.2606.25067 · pith_short_12: JYYLUR7Z4KQA · pith_short_16: JYYLUR7Z4KQAX2VJ · pith_short_8: JYYLUR7Z

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/JYYLUR7Z4KQAX2VJDVIVGWANJS \
  | 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: 4e30ba47f9e2a00beaa91d5153580d4cae4fccb59546baf98c5e5f464095262e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "692078242115649dc1533178c2cb819209f9a9ae4107f43e165082328e99efea",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2026-06-23T18:20:14Z",
    "title_canon_sha256": "4b6e29d09e9ddd57d9e7733fc552dc8acc72d9b01f9fc597db2c2c1b2e7833b0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.25067",
    "kind": "arxiv",
    "version": 1
  }
}