Pith Number

pith:TKSFVOQK

pith:2019:TKSFVOQKWAUXU74MPS5I4YMTNB

not attested not anchored not stored refs pending

Non-vanishing theorems for central $L$-values of some elliptic curves with complex multiplication II

John Coates, Yongxiong Li

arxiv:1904.05756 v1 · 2019-04-11 · 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{TKSFVOQKWAUXU74MPS5I4YMTNB}

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	2026-05-17T23:48:48.564913Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9aa45aba0ab0297a7f8c7cba8e6193687475c121450edf966bfc7d44da647c7a

Aliases

arxiv: 1904.05756 · arxiv_version: 1904.05756v1 · doi: 10.48550/arxiv.1904.05756 · pith_short_12: TKSFVOQKWAUX · pith_short_16: TKSFVOQKWAUXU74M · pith_short_8: TKSFVOQK

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/TKSFVOQKWAUXU74MPS5I4YMTNB \
  | 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: 9aa45aba0ab0297a7f8c7cba8e6193687475c121450edf966bfc7d44da647c7a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "72293bf1c6d2ad49d5fd85c293248dea1efd460b10081086f753dd9ef51898c4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2019-04-11T15:13:43Z",
    "title_canon_sha256": "48ed9504177594a28e9687998911747721e4c06363081cc528b8e9100fec3250"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.05756",
    "kind": "arxiv",
    "version": 1
  }
}