Pith Number

pith:A6WKVPG2

pith:2019:A6WKVPG2HVQV7FN3CPPUL2P6EE

not attested not anchored not stored refs pending

Torsion points and isogenies on CM elliptic curves

Abbey Bourdon, Pete L. Clark

arxiv:1906.07121 v1 · 2019-06-17 · 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{A6WKVPG2HVQV7FN3CPPUL2P6EE}

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	2026-07-05T01:12:59.725279Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

07acaabcda3d615f95bb13df45e9fe2121ead7ed4975a91d188da68b66f35b9e

Aliases

arxiv: 1906.07121 · arxiv_version: 1906.07121v1 · doi: 10.48550/arxiv.1906.07121 · pith_short_12: A6WKVPG2HVQV · pith_short_16: A6WKVPG2HVQV7FN3 · pith_short_8: A6WKVPG2

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/A6WKVPG2HVQV7FN3CPPUL2P6EE \
  | 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: 07acaabcda3d615f95bb13df45e9fe2121ead7ed4975a91d188da68b66f35b9e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d3e9ae50ecf1929b669f41989cde144c8a76ef9daf2f34f404bbafa2fd27e0b8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2019-06-17T16:41:14Z",
    "title_canon_sha256": "0defaea61222ac283e8985f791a99d094d30f228d9363331405ec9e4619527c3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.07121",
    "kind": "arxiv",
    "version": 1
  }
}