Pith Number

pith:C5YWEURK

pith:2019:C5YWEURKKXJTA7HTFMS6RBHDPW

not attested not anchored not stored refs pending

Independence of CM points in Elliptic Curves

Jacob Tsimerman, Jonathan Pila

arxiv:1907.02737 v1 · 2019-07-05 · math.NT · math.AG · math.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{C5YWEURKKXJTA7HTFMS6RBHDPW}

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	2026-05-17T23:41:23.345805Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

177162522a55d3307cf32b25e884e37da8cee0d59b9ce2dad1cbb945dc7af6fe

Aliases

arxiv: 1907.02737 · arxiv_version: 1907.02737v1 · doi: 10.48550/arxiv.1907.02737 · pith_short_12: C5YWEURKKXJT · pith_short_16: C5YWEURKKXJTA7HT · pith_short_8: C5YWEURK

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/C5YWEURKKXJTA7HTFMS6RBHDPW \
  | 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: 177162522a55d3307cf32b25e884e37da8cee0d59b9ce2dad1cbb945dc7af6fe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6714a0e8945afc4fc5f27a1abcb336098f73dc7b439cb9417e76ea5d8f0c198e",
    "cross_cats_sorted": [
      "math.AG",
      "math.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2019-07-05T09:28:08Z",
    "title_canon_sha256": "5dad45a909177c9b753870759f7d698e7f10373e5f5bcb7b0a501bd65aa53eed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.02737",
    "kind": "arxiv",
    "version": 1
  }
}