Pith Number

pith:X66EE7SJ

pith:2026:X66EE7SJ3D6PTDCGPIKRDZNZQV

not attested not anchored not stored refs pending

A direct proof of Mono-Rolen-Stumpenhusen and new constructions via the Maass raising operators

Ben Kane, Kathrin Bringmann

arxiv:2606.27212 v1 · 2026-06-25 · 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{X66EE7SJ3D6PTDCGPIKRDZNZQV}

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	2026-06-26T01:16:13.720089Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bfbc427e49d8fcf98c467a1511e5b98577c65ad97040ac04bdae5c5f2193825d

Aliases

arxiv: 2606.27212 · arxiv_version: 2606.27212v1 · doi: 10.48550/arxiv.2606.27212 · pith_short_12: X66EE7SJ3D6P · pith_short_16: X66EE7SJ3D6PTDCG · pith_short_8: X66EE7SJ

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/X66EE7SJ3D6PTDCGPIKRDZNZQV \
  | 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: bfbc427e49d8fcf98c467a1511e5b98577c65ad97040ac04bdae5c5f2193825d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c64feec079febeb39050154ea7fa684895dfa9f8bdfbd148fe7e1316afe3e716",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2026-06-25T16:04:14Z",
    "title_canon_sha256": "2e3001d82f23aeca9e5080e4ecde01e1094d5391e8cdf3c580ca8ff75e7470e2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.27212",
    "kind": "arxiv",
    "version": 1
  }
}