Pith Number

pith:I7WARONN

pith:2015:I7WARONN2PWRWY3P2YIGPZYPFA

not attested not anchored not stored refs pending

Possible indices for the Galois image of elliptic curves over Q

David Zywina

arxiv:1508.07663 v2 · 2015-08-31 · 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{I7WARONN2PWRWY3P2YIGPZYPFA}

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.

Cited by

1 paper in Pith

Degrees of points with rational $j$-invariant on $X_{0}(n)$ and $X_{1}(n)$

Receipt and verification

First computed	2026-07-05T03:49:06.351893Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

47ec08b9add3ed1b636fd61067e70f2832a9b920305724549b07dd95fb8159b9

Aliases

arxiv: 1508.07663 · arxiv_version: 1508.07663v2 · doi: 10.48550/arxiv.1508.07663 · pith_short_12: I7WARONN2PWR · pith_short_16: I7WARONN2PWRWY3P · pith_short_8: I7WARONN

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/I7WARONN2PWRWY3P2YIGPZYPFA \
  | 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: 47ec08b9add3ed1b636fd61067e70f2832a9b920305724549b07dd95fb8159b9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8a1fd8baa6618781405b9edd176cd0cf47c46f4d200e3ceb6118cbb472dc7c91",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-08-31T02:06:05Z",
    "title_canon_sha256": "2038fc66764ced5a9599176cc60fb0ad1754ce3423aef0cba31d6d6dc78ae56e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.07663",
    "kind": "arxiv",
    "version": 2
  }
}