Pith Number

pith:CZH3YXIA

pith:2014:CZH3YXIAE4J5NWO2ORZQPNWB2Z

not attested not anchored not stored refs pending

Effective results on linear dependence for elliptic curves

Igor E. Shparlinski, Min Sha

arxiv:1410.1596 v3 · 2014-10-07 · 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{CZH3YXIAE4J5NWO2ORZQPNWB2Z}

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	2026-05-17T23:59:28.035502Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

164fbc5d002713d6d9da747307b6c1d64e8cff7d90bf0f57a3376d27c9afca52

Aliases

arxiv: 1410.1596 · arxiv_version: 1410.1596v3 · doi: 10.48550/arxiv.1410.1596 · pith_short_12: CZH3YXIAE4J5 · pith_short_16: CZH3YXIAE4J5NWO2 · pith_short_8: CZH3YXIA

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/CZH3YXIAE4J5NWO2ORZQPNWB2Z \
  | 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: 164fbc5d002713d6d9da747307b6c1d64e8cff7d90bf0f57a3376d27c9afca52

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b6a489b062f3837fb3f8afd43e3b968d55357e78a6be0fbc1113bce6324bff25",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-10-07T00:35:03Z",
    "title_canon_sha256": "45d95dbc982553e9242336683d758f20394cb603a891552d80dd9904411d8089"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.1596",
    "kind": "arxiv",
    "version": 3
  }
}