Pith Number

pith:VMWBC67O

pith:2026:VMWBC67OQB7YN4UGYWP6XS5CGE

not attested not anchored not stored refs pending

Boundary CM points and class groups of small exponent

David Aiken, Dmitriy Shvydkoy, Erick Ross, Hui Xue

arxiv:2605.26020 v1 · 2026-05-25 · 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{VMWBC67OQB7YN4UGYWP6XS5CGE}

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	2026-05-26T02:05:23.611756Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ab2c117bee807f86f286c59febcba231364d958c00ff32057358a1a0cc4ab047

Aliases

arxiv: 2605.26020 · arxiv_version: 2605.26020v1 · doi: 10.48550/arxiv.2605.26020 · pith_short_12: VMWBC67OQB7Y · pith_short_16: VMWBC67OQB7YN4UG · pith_short_8: VMWBC67O

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/VMWBC67OQB7YN4UGYWP6XS5CGE \
  | 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: ab2c117bee807f86f286c59febcba231364d958c00ff32057358a1a0cc4ab047

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8d9a6973943463a0e2f729b77a90323f3b240fd8b03d7150007b2682b5e395f3",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2026-05-25T16:40:51Z",
    "title_canon_sha256": "c7df0aed3fdf1911847f78cce9f5c0273fc1e562d08dd5d2af3ec40653b8ea80"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.26020",
    "kind": "arxiv",
    "version": 1
  }
}