Pith Number

pith:NV73FJCK

pith:2017:NV73FJCKGM6675IK2YZFKADAT7

not attested not anchored not stored refs pending

Serre's Uniformity Conjecture for Elliptic Curves with Rational Cyclic Isogenies

Pedro Lemos

arxiv:1702.01985 v2 · 2017-02-07 · 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{NV73FJCKGM6675IK2YZFKADAT7}

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	2026-05-18T00:49:06.267610Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6d7fb2a44a333deff50ad6325500609fcf662f6b67d893944d26645563080505

Aliases

arxiv: 1702.01985 · arxiv_version: 1702.01985v2 · doi: 10.48550/arxiv.1702.01985 · pith_short_12: NV73FJCKGM66 · pith_short_16: NV73FJCKGM6675IK · pith_short_8: NV73FJCK

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/NV73FJCKGM6675IK2YZFKADAT7 \
  | 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: 6d7fb2a44a333deff50ad6325500609fcf662f6b67d893944d26645563080505

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ec83e633dd401d1f0880ed0c7260f81390e1f7439ea35d16f6e12465d2679c09",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-02-07T12:42:24Z",
    "title_canon_sha256": "abd2dd269e9a10eace1bf6cb68a0519e28fc4ee28aa20965bf62a43c9612a07b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.01985",
    "kind": "arxiv",
    "version": 2
  }
}