Pith Number

pith:PXEIMHNP

pith:2021:PXEIMHNP5F2UAW75F2RM5DFKRT

not attested not anchored not stored refs pending

Sporadic points of odd degree on $X_1(N)$ coming from $\mathbb{Q}$-curves

Abbey Bourdon, Filip Najman

arxiv:2107.10909 v2 · 2021-07-22 · 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{PXEIMHNP5F2UAW75F2RM5DFKRT}

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

Minimal torsion curves in geometric isogeny classes

Receipt and verification

First computed	2026-07-05T03:13:31.232491Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7dc8861dafe975405bfd2ea2ce8caa8cfad4d1bfbae829a53e4b7c746fc15eb5

Aliases

arxiv: 2107.10909 · arxiv_version: 2107.10909v2 · doi: 10.48550/arxiv.2107.10909 · pith_short_12: PXEIMHNP5F2U · pith_short_16: PXEIMHNP5F2UAW75 · pith_short_8: PXEIMHNP

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/PXEIMHNP5F2UAW75F2RM5DFKRT \
  | 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: 7dc8861dafe975405bfd2ea2ce8caa8cfad4d1bfbae829a53e4b7c746fc15eb5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5795569afb5aed34426e61547095a59435535b6eda02ecc49e131aa51970d4fb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2021-07-22T20:14:26Z",
    "title_canon_sha256": "8b046d72d80398c085d0e0726b5bf042332131696609dec3fdb523b5d377ec61"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2107.10909",
    "kind": "arxiv",
    "version": 2
  }
}