Pith Number

pith:OH2OFLOO

pith:2024:OH2OFLOOT5DJZBYSICNGKA3GCZ

not attested not anchored not stored refs pending

Uniform polynomial bounds on torsion from rational geometric isogeny classes

Abbey Bourdon, Tyler Genao

arxiv:2409.08214 v2 · 2024-09-12 · 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{OH2OFLOOT5DJZBYSICNGKA3GCZ}

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

Rational isolated $j$-invariants from $X_1(\ell^n)$ and $X_0(\ell^n)$

Receipt and verification

First computed	2026-07-05T10:24:54.611871Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

71f4e2adce9f469c8712409a650366165f3eab3c44b2377f4bc9a3fe2824c1b5

Aliases

arxiv: 2409.08214 · arxiv_version: 2409.08214v2 · doi: 10.48550/arxiv.2409.08214 · pith_short_12: OH2OFLOOT5DJ · pith_short_16: OH2OFLOOT5DJZBYS · pith_short_8: OH2OFLOO

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/OH2OFLOOT5DJZBYSICNGKA3GCZ \
  | 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: 71f4e2adce9f469c8712409a650366165f3eab3c44b2377f4bc9a3fe2824c1b5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e4d0b61b5c6d26c9eb40fec1901864c42da74b851cc8b8a779c404be29e5767b",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2024-09-12T16:55:13Z",
    "title_canon_sha256": "13b2a719716add534e925f03e880a62208dcf6313cc74f7837f7740e0cde7efd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2409.08214",
    "kind": "arxiv",
    "version": 2
  }
}