Pith Number

pith:CS4URMHK

pith:2015:CS4URMHKLZSQ2NUE4HXQI4X7RY

not attested not anchored not stored refs pending

Kolyvagin's method for Chow groups of Kuga-Sato varieties over ring class fields

Yara Elias

arxiv:1503.01971 v2 · 2015-03-06 · 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{CS4URMHKLZSQ2NUE4HXQI4X7RY}

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	2026-05-18T01:59:57.650059Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

14b948b0ea5e650d3684e1ef0472ff8e3756d23bd7642d1f4ee33a95a2d9647b

Aliases

arxiv: 1503.01971 · arxiv_version: 1503.01971v2 · doi: 10.48550/arxiv.1503.01971 · pith_short_12: CS4URMHKLZSQ · pith_short_16: CS4URMHKLZSQ2NUE · pith_short_8: CS4URMHK

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/CS4URMHKLZSQ2NUE4HXQI4X7RY \
  | 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: 14b948b0ea5e650d3684e1ef0472ff8e3756d23bd7642d1f4ee33a95a2d9647b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "699dbfcd251926d35e3e6bfd37feb0e99a54a93a52a00642e816bcbf560dd112",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-03-06T14:30:59Z",
    "title_canon_sha256": "24b818f6d34e8e7c8fe033a1245ea7ff62a70138462dbd84ea4958672e8cee8b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.01971",
    "kind": "arxiv",
    "version": 2
  }
}