Pith Number

pith:C26UXSVM

pith:2014:C26UXSVMH3C42H77CIPEEOT5EK

not attested not anchored not stored refs pending

The average of the first invariant factor for reductions of CM elliptic curves mod $p$

Paul Pollack, Tristan Freiberg

arxiv:1410.7212 v1 · 2014-10-27 · 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{C26UXSVMH3C42H77CIPEEOT5EK}

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	2026-05-18T02:39:17.804754Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

16bd4bcaac3ec5cd1fff121e423a7d22a98b89784e40620a285b3b6bffce70f7

Aliases

arxiv: 1410.7212 · arxiv_version: 1410.7212v1 · doi: 10.48550/arxiv.1410.7212 · pith_short_12: C26UXSVMH3C4 · pith_short_16: C26UXSVMH3C42H77 · pith_short_8: C26UXSVM

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/C26UXSVMH3C42H77CIPEEOT5EK \
  | 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: 16bd4bcaac3ec5cd1fff121e423a7d22a98b89784e40620a285b3b6bffce70f7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1e0c5fd1e7a5b30b7afe47f5c091b0d49cd1602db454c590451f6da5f9fa5e0f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-10-27T12:53:37Z",
    "title_canon_sha256": "38c185f611dedc85b505298c4e2773558302962c5384e392b521d160f53e44d2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.7212",
    "kind": "arxiv",
    "version": 1
  }
}