Pith Number

pith:NQINW3U2

pith:2024:NQINW3U2W4JEJRKOVADPGD3BJW

not attested not anchored not stored refs pending

A proof of Sugawara's conjecture on Hasse-Weber ray class invariants

Patrick Morton

arxiv:2406.11479 v5 · 2024-06-17 · 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{NQINW3U2W4JEJRKOVADPGD3BJW}

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	2026-06-03T01:05:42.732546Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6c10db6e9ab71244c54ea806f30f614d9795b1754d9a171a71be64673c6bc354

Aliases

arxiv: 2406.11479 · arxiv_version: 2406.11479v5 · doi: 10.48550/arxiv.2406.11479 · pith_short_12: NQINW3U2W4JE · pith_short_16: NQINW3U2W4JEJRKO · pith_short_8: NQINW3U2

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/NQINW3U2W4JEJRKOVADPGD3BJW \
  | 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: 6c10db6e9ab71244c54ea806f30f614d9795b1754d9a171a71be64673c6bc354

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d9133fcad3b10d2a0a17a62a4ab81a833928937a21cbdab13ebd50572e3b1579",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2024-06-17T12:44:11Z",
    "title_canon_sha256": "0f4e7ab9647d976f46daead35b07124907c017a9ed7f8c9b4bc6ecb2422d04d4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2406.11479",
    "kind": "arxiv",
    "version": 5
  }
}