Pith Number

pith:33SH5LJC

pith:2026:33SH5LJC7PSOI5LCCPEDPK5JIM

not attested not anchored not stored refs pending

A refined Malle conjecture for Heisenberg groups

Jack B. Miller, Tim Santens

arxiv:2607.06476 v1 · 2026-07-07 · 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{33SH5LJC7PSOI5LCCPEDPK5JIM}

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	2026-07-08T01:19:27.401126Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dee47ead22fbe4e4756213c837aba9431abd519aef3540106495cf9a4ca2e132

Aliases

arxiv: 2607.06476 · arxiv_version: 2607.06476v1 · doi: 10.48550/arxiv.2607.06476 · pith_short_12: 33SH5LJC7PSO · pith_short_16: 33SH5LJC7PSOI5LC · pith_short_8: 33SH5LJC

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/33SH5LJC7PSOI5LCCPEDPK5JIM \
  | 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: dee47ead22fbe4e4756213c837aba9431abd519aef3540106495cf9a4ca2e132

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "be8e6f9c64d8a2bc0bc8e2c8d2f87d2bddeb547151678a800b79e4258d15ea31",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2026-07-07T16:31:21Z",
    "title_canon_sha256": "1007223a4eeeb1e81a475ee6800104779d77fae94ba5683cc32c2f16c41da2d4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.06476",
    "kind": "arxiv",
    "version": 1
  }
}