Pith Number

pith:KBT6WW7N

pith:2018:KBT6WW7NZF5VXLR7GAY4BXLSU7

not attested not anchored not stored refs pending

Torsion groups of elliptic curves over the $\mathbb Z_p$-extensions of $\mathbb Q$

Filip Najman, Harris B. Daniels, Ivan Krijan, Michael Chou

arxiv:1808.05243 v2 · 2018-08-15 · 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{KBT6WW7NZF5VXLR7GAY4BXLSU7}

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	2026-05-18T00:03:55.501229Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5067eb5bedc97b5bae3f3031c0dd72a7f34ac30aa158d71d24f9d1cf3b477342

Aliases

arxiv: 1808.05243 · arxiv_version: 1808.05243v2 · doi: 10.48550/arxiv.1808.05243 · pith_short_12: KBT6WW7NZF5V · pith_short_16: KBT6WW7NZF5VXLR7 · pith_short_8: KBT6WW7N

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/KBT6WW7NZF5VXLR7GAY4BXLSU7 \
  | 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: 5067eb5bedc97b5bae3f3031c0dd72a7f34ac30aa158d71d24f9d1cf3b477342

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "adc9f482bda8f881e87f52fac4001261f2a97142aacba61a44b2d22caa349e34",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-08-15T18:24:08Z",
    "title_canon_sha256": "da72c9cff178f1de609558aff815f084d4400356df3b9ffb57219e2f6716f45c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.05243",
    "kind": "arxiv",
    "version": 2
  }
}