Pith Number

pith:M4EDOH43

pith:2026:M4EDOH43LDFH4CKLBKPMXLQDFX

not attested not anchored not stored refs pending

Symplectic lattice counting and zeta functions of higher Heisenberg groups

Christopher Voll, Jianhao Shen

arxiv:2605.23003 v1 · 2026-05-21 · math.GR · math.CO · math.RA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{M4EDOH43LDFH4CKLBKPMXLQDFX}

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	2026-05-25T02:01:34.019617Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6708371f9b58ca7e094b0a9ecbae032dda5af4f93374668e8e77d7c0d1d24eb4

Aliases

arxiv: 2605.23003 · arxiv_version: 2605.23003v1 · doi: 10.48550/arxiv.2605.23003 · pith_short_12: M4EDOH43LDFH · pith_short_16: M4EDOH43LDFH4CKL · pith_short_8: M4EDOH43

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/M4EDOH43LDFH4CKLBKPMXLQDFX \
  | 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: 6708371f9b58ca7e094b0a9ecbae032dda5af4f93374668e8e77d7c0d1d24eb4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "815f223d98bc3a8d1b1b1f7346e56e432b20023d860fbcff75c1c23362cad81f",
    "cross_cats_sorted": [
      "math.CO",
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2026-05-21T20:14:42Z",
    "title_canon_sha256": "0fc322e90fd4fadabbaebe207b19ceb0a4634835438218e094d7acc48d6b982a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.23003",
    "kind": "arxiv",
    "version": 1
  }
}