Pith Number

pith:4VW32XYT

pith:2022:4VW32XYTWEXKVTTIJYZ3OREWU2

not attested not anchored not stored refs pending

Adding Level Structure to Supersingular Elliptic Curve Isogeny Graphs

Sarah Arpin

arxiv:2203.03531 v4 · 2022-03-07 · 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{4VW32XYTWEXKVTTIJYZ3OREWU2}

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	2026-07-05T09:59:10.806921Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e56dbd5f13b12eaace684e33b74496a6b3c8ad560032f3cdfeecc16ae2d1e4ea

Aliases

arxiv: 2203.03531 · arxiv_version: 2203.03531v4 · doi: 10.48550/arxiv.2203.03531 · pith_short_12: 4VW32XYTWEXK · pith_short_16: 4VW32XYTWEXKVTTI · pith_short_8: 4VW32XYT

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/4VW32XYTWEXKVTTIJYZ3OREWU2 \
  | 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: e56dbd5f13b12eaace684e33b74496a6b3c8ad560032f3cdfeecc16ae2d1e4ea

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "959ae3d25a15146151cd099be12956a59b24f250d950f7b636c1dc4bddc89d99",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2022-03-07T17:23:06Z",
    "title_canon_sha256": "97312127421b65575db886fd76a9527ada571f03d49e835fec5e70dd90ddaa03"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2203.03531",
    "kind": "arxiv",
    "version": 4
  }
}