Pith Number

pith:RTRAEHLS

pith:2015:RTRAEHLSM4UEDXOJDFPRBPMPOE

not attested not anchored not stored refs pending

On the possible images of the mod ell representations associated to elliptic curves over Q

David Zywina

arxiv:1508.07660 v1 · 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{RTRAEHLSM4UEDXOJDFPRBPMPOE}

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

6 papers in Pith

Minimal torsion curves in geometric isogeny classes

Quadratic points on the Fermat quartic over number fields

Squares in arithmetic progression over quadratic extensions of number fields

On Galois Embedding Problems Arising from 3-Torsion of Elliptic Curves

The Smallest Invariant Factor of Elliptic Curves, and Coincidences

Receipt and verification

First computed	2026-05-18T01:34:31.704905Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8ce2021d72672841ddc9195f10bd8f710fe2ada88d5ed2a8ef577cc653b19508

Aliases

arxiv: 1508.07660 · arxiv_version: 1508.07660v1 · doi: 10.48550/arxiv.1508.07660 · pith_short_12: RTRAEHLSM4UE · pith_short_16: RTRAEHLSM4UEDXOJ · pith_short_8: RTRAEHLS

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/RTRAEHLSM4UEDXOJDFPRBPMPOE \
  | 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: 8ce2021d72672841ddc9195f10bd8f710fe2ada88d5ed2a8ef577cc653b19508

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dbdcdebfb324a5cfbfa3303f1efff3d2fccbe2c821f72da840198641cf43d0a3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-08-31T01:28:58Z",
    "title_canon_sha256": "e2e37d27c20050940af53d0e9992d9d8a68150d59a951a2322dbbb8de3c78245"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.07660",
    "kind": "arxiv",
    "version": 1
  }
}