Pith Number

pith:JEODALI4

pith:2017:JEODALI4AIZ6M3J4OF6VKL5QNF

not attested not anchored not stored refs pending

Counterexamples to the local-global divisibility over elliptic curves

Gabriele Ranieri

arxiv:1705.01880 v1 · 2017-05-04 · 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{JEODALI4AIZ6M3J4OF6VKL5QNF}

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	2026-05-18T00:45:02.121057Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

491c302d1c0233e66d3c717d552fb0696baedc32382bce2ea1de26c4d188bf8b

Aliases

arxiv: 1705.01880 · arxiv_version: 1705.01880v1 · doi: 10.48550/arxiv.1705.01880 · pith_short_12: JEODALI4AIZ6 · pith_short_16: JEODALI4AIZ6M3J4 · pith_short_8: JEODALI4

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/JEODALI4AIZ6M3J4OF6VKL5QNF \
  | 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: 491c302d1c0233e66d3c717d552fb0696baedc32382bce2ea1de26c4d188bf8b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e632bc305787410f2fe46235a460b785423677bf953b9cc1da053bf97d8faa8d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-05-04T15:30:44Z",
    "title_canon_sha256": "f6253fd5deb224ccc2cf3bade4294103f759e13f5835cbfe1648da00674d78c8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.01880",
    "kind": "arxiv",
    "version": 1
  }
}