Pith Number

pith:JNCEJW7Y

pith:2023:JNCEJW7YDAPK5CIZNAUTJ3JMKK

not attested not anchored not stored refs pending

On towers of Isogeny graphs with full level structure

Antonio Lei, Katharina M\"uller

arxiv:2309.00524 v2 · 2023-09-01 · math.NT · math.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JNCEJW7YDAPK5CIZNAUTJ3JMKK}

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

Spectral Theory of Isogeny Graphs

Receipt and verification

First computed	2026-07-05T09:04:29.035468Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4b4444dbf8181eae8919682934ed2c528e192a154b26251d7cd3b44c1daae5ee

Aliases

arxiv: 2309.00524 · arxiv_version: 2309.00524v2 · doi: 10.48550/arxiv.2309.00524 · pith_short_12: JNCEJW7YDAPK · pith_short_16: JNCEJW7YDAPK5CIZ · pith_short_8: JNCEJW7Y

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/JNCEJW7YDAPK5CIZNAUTJ3JMKK \
  | 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: 4b4444dbf8181eae8919682934ed2c528e192a154b26251d7cd3b44c1daae5ee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "88a9cc21642267fb8afbe2a0c3d37c7f51bef44cc755c71bc0b2dc4a35bc4d21",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2023-09-01T15:25:47Z",
    "title_canon_sha256": "3ce36542a495948c621bc9074fa16f0ae650dcea91504ae296b9954e7aa7c4d0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2309.00524",
    "kind": "arxiv",
    "version": 2
  }
}