Pith Number

pith:ZOAQ4DAK

pith:2017:ZOAQ4DAKRH7FAINUFUQPWT5GRU

not attested not anchored not stored refs pending

The divisibility by 2 of rational points on elliptic curves

Boris M. Bekker, Yuri G. Zarhin

arxiv:1702.02255 v2 · 2017-02-08 · math.NT · math.AG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZOAQ4DAKRH7FAINUFUQPWT5GRU}

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	2026-05-18T00:50:59.056108Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cb810e0c0a89fe5021b42d20fb4fa68d3cdf02e5c3abb8183444388cf27a27e5

Aliases

arxiv: 1702.02255 · arxiv_version: 1702.02255v2 · doi: 10.48550/arxiv.1702.02255 · pith_short_12: ZOAQ4DAKRH7F · pith_short_16: ZOAQ4DAKRH7FAINU · pith_short_8: ZOAQ4DAK

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/ZOAQ4DAKRH7FAINUFUQPWT5GRU \
  | 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: cb810e0c0a89fe5021b42d20fb4fa68d3cdf02e5c3abb8183444388cf27a27e5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8c5e58db9ac4dc9fb4c9c122cbf3ce405df1c272ae52fbeed1872af5e2da175b",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-02-08T02:34:00Z",
    "title_canon_sha256": "57069ad881fb47e2abe7522ca5bb8cb50788129982fe4c4251384c0e484ecdfe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.02255",
    "kind": "arxiv",
    "version": 2
  }
}