Pith Number

pith:YSQ4VNL4

pith:2005:YSQ4VNL4IIYHZEZMAI5ZKLBYCF

not attested not anchored not stored refs pending

On the independence of Heegner points associated to distinct quadratic imaginary fields

Joseph H. Silverman, Michael Rosen

arxiv:math/0508259 v2 · 2005-08-15 · 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{YSQ4VNL4IIYHZEZMAI5ZKLBYCF}

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	2026-05-18T04:21:11.225220Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c4a1cab57c42307c932c023b952c3811562b63a46d7975673f01abb1eefff5da

Aliases

arxiv: math/0508259 · arxiv_version: math/0508259v2 · doi: 10.48550/arxiv.math/0508259 · pith_short_12: YSQ4VNL4IIYH · pith_short_16: YSQ4VNL4IIYHZEZM · pith_short_8: YSQ4VNL4

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/YSQ4VNL4IIYHZEZMAI5ZKLBYCF \
  | 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: c4a1cab57c42307c932c023b952c3811562b63a46d7975673f01abb1eefff5da

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8682f5ce66eaac6607e2f1d00343750ecd0c79700b2d56ce64779768f58ca029",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "",
    "primary_cat": "math.NT",
    "submitted_at": "2005-08-15T13:18:53Z",
    "title_canon_sha256": "b1cdd76c9fae54df5720338ac57d656a62fa68773f0c996b1e66743a504569a1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0508259",
    "kind": "arxiv",
    "version": 2
  }
}