Pith Number

pith:JAEHIWLH

pith:2012:JAEHIWLHVMVKLRL3LJMYMRMUPH

not attested not anchored not stored refs pending

Average Frobenius distribution for elliptic curves defined over finite Galois extensions of the rationals

Ethan Smith, Kevin James

arxiv:1210.4603 v1 · 2012-10-17 · 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{JAEHIWLHVMVKLRL3LJMYMRMUPH}

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	2026-05-18T03:42:56.645219Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4808745967ab2aa5c57b5a5986459479cde9a68e55f463db7b7fe083ad88e7c1

Aliases

arxiv: 1210.4603 · arxiv_version: 1210.4603v1 · doi: 10.48550/arxiv.1210.4603 · pith_short_12: JAEHIWLHVMVK · pith_short_16: JAEHIWLHVMVKLRL3 · pith_short_8: JAEHIWLH

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/JAEHIWLHVMVKLRL3LJMYMRMUPH \
  | 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: 4808745967ab2aa5c57b5a5986459479cde9a68e55f463db7b7fe083ad88e7c1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "912382f6e6a406dae5d087b890bc4aee68551b3de2c0597e0a25cbf34a98213f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-10-17T00:52:58Z",
    "title_canon_sha256": "63f426fc2cbf84e6263e634e7b423133cadbb6d6c44cb6f2f012854d8cf89154"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.4603",
    "kind": "arxiv",
    "version": 1
  }
}