Pith Number

pith:3KNOHDBS

pith:2021:3KNOHDBSGGODLZZMNH7YD4UWPS

not attested not anchored not stored refs pending

Supersingular $j$-invariants and the Class Number of $\mathbb{Q}(\sqrt{-p})$

Guanju Xiao, Lixia Luo, Yingpu Deng

arxiv:2101.04937 v2 · 2021-01-13 · 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{3KNOHDBSGGODLZZMNH7YD4UWPS}

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	2026-07-05T02:21:00.564305Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

da9ae38c32319c35e72c69ff81f2967c8ff0e3d5a86af48d70e1ad250c1b65a3

Aliases

arxiv: 2101.04937 · arxiv_version: 2101.04937v2 · doi: 10.48550/arxiv.2101.04937 · pith_short_12: 3KNOHDBSGGOD · pith_short_16: 3KNOHDBSGGODLZZM · pith_short_8: 3KNOHDBS

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/3KNOHDBSGGODLZZMNH7YD4UWPS \
  | 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: da9ae38c32319c35e72c69ff81f2967c8ff0e3d5a86af48d70e1ad250c1b65a3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0d9c7d96007b13d942aed520ccc06037f449850d4e9a988b2dfbf13e5e907d4f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2021-01-13T08:51:12Z",
    "title_canon_sha256": "d2c730b17ed488f2372dee1b4741f3d838b629cc7073a3d2b11d61c0e017ccc1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2101.04937",
    "kind": "arxiv",
    "version": 2
  }
}