Pith Number

pith:ZPDTZGMS

pith:2026:ZPDTZGMS5NOQ23VBHOKZJZVFRX

not attested not anchored not stored refs pending

Lattice point counting problems on step-two nilpotent Lie groups

Sheng-Chen Mao

arxiv:2605.26033 v1 · 2026-05-25 · math.CA · 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{ZPDTZGMS5NOQ23VBHOKZJZVFRX}

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	2026-05-26T02:05:24.265909Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cbc73c9992eb5d0d6ea13b9594e6a58dcdd3ad45d22228e967a45e8335e2de43

Aliases

arxiv: 2605.26033 · arxiv_version: 2605.26033v1 · doi: 10.48550/arxiv.2605.26033 · pith_short_12: ZPDTZGMS5NOQ · pith_short_16: ZPDTZGMS5NOQ23VB · pith_short_8: ZPDTZGMS

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/ZPDTZGMS5NOQ23VBHOKZJZVFRX \
  | 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: cbc73c9992eb5d0d6ea13b9594e6a58dcdd3ad45d22228e967a45e8335e2de43

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "319587f916dd1f5ab2b72d6d807c6c3697054548e78fd3d6086a69db06806d5e",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2026-05-25T17:01:32Z",
    "title_canon_sha256": "c2d74e2667fac9825b29f4ac183db9a74a76427703cedc62230d60bc62b83a5a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.26033",
    "kind": "arxiv",
    "version": 1
  }
}