Pith Number

pith:ULDIKPRC

pith:2012:ULDIKPRC6A2KHJ5CC42NCNLZD7

not attested not anchored not stored refs pending

Distribution of squarefree values of sequences associated with elliptic curves

Chantal David, Heekyoung Hahn, Lola Thompson, Shabnam Akhtari

arxiv:1210.3433 v2 · 2012-10-12 · 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{ULDIKPRC6A2KHJ5CC42NCNLZD7}

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	2026-05-18T03:26:41.139291Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a2c6853e22f034a3a7a21734d135791fc9f624d93f0404f177eb4d46b7acd613

Aliases

arxiv: 1210.3433 · arxiv_version: 1210.3433v2 · doi: 10.48550/arxiv.1210.3433 · pith_short_12: ULDIKPRC6A2K · pith_short_16: ULDIKPRC6A2KHJ5C · pith_short_8: ULDIKPRC

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/ULDIKPRC6A2KHJ5CC42NCNLZD7 \
  | 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: a2c6853e22f034a3a7a21734d135791fc9f624d93f0404f177eb4d46b7acd613

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bc49632ee222f8af1a8e95526a29aae97ceb2d5f85e9e26c7da2745334b4f658",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-10-12T05:30:22Z",
    "title_canon_sha256": "efba1f62d668203392fb8f917017bee88067be7f8a9e9fd4a77d99ac403d0f02"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.3433",
    "kind": "arxiv",
    "version": 2
  }
}