Pith Number

pith:22QJANP6

pith:2017:22QJANP6CHTU64UU22ZEMB7EQQ

not attested not anchored not stored refs pending

On Ribet's isogeny for $J_0(65)$

Krzysztof Klosin, Mihran Papikian

arxiv:1706.08228 v2 · 2017-06-26 · 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{22QJANP6CHTU64UU22ZEMB7EQQ}

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	2026-05-17T23:49:18.035097Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d6a09035fe11e74f7294d6b24607e4842feb9da712362a39f9925ae7a80e3686

Aliases

arxiv: 1706.08228 · arxiv_version: 1706.08228v2 · doi: 10.48550/arxiv.1706.08228 · pith_short_12: 22QJANP6CHTU · pith_short_16: 22QJANP6CHTU64UU · pith_short_8: 22QJANP6

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/22QJANP6CHTU64UU22ZEMB7EQQ \
  | 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: d6a09035fe11e74f7294d6b24607e4842feb9da712362a39f9925ae7a80e3686

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "176e689c968fcc5156f1619d5b6d4dd81b1f0f6b4928f257db0329968a79921d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-06-26T04:34:38Z",
    "title_canon_sha256": "9f32da2f68be81266b14eb9a578bc07993599054d6d9a7edc9eff15b523f00c1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.08228",
    "kind": "arxiv",
    "version": 2
  }
}