Pith Number

pith:EM56VIHI

pith:2025:EM56VIHIZ4SBKBXWHY6UWAZJOC

not attested not anchored not stored refs pending

Hypercubic structures behind $\hat{Z}$-invariants

Shoma Sugimoto

arxiv:2501.12985 v1 · 2025-01-22 · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EM56VIHIZ4SBKBXWHY6UWAZJOC}

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.

Cited by

1 paper in Pith

Nesting behind $\hat{Z}$-invariants

Receipt and verification

First computed	2026-07-05T10:04:01.326844Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

233beaa0e8cf241506f63e3d4b03297088d939448448406be688071a26996985

Aliases

arxiv: 2501.12985 · arxiv_version: 2501.12985v1 · doi: 10.48550/arxiv.2501.12985 · pith_short_12: EM56VIHIZ4SB · pith_short_16: EM56VIHIZ4SBKBXW · pith_short_8: EM56VIHI

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/EM56VIHIZ4SBKBXWHY6UWAZJOC \
  | 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: 233beaa0e8cf241506f63e3d4b03297088d939448448406be688071a26996985

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cb3cfb8b07028b834b6418e7c1b77e9d3145505b66def3499049ca2256f5e637",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2025-01-22T16:18:18Z",
    "title_canon_sha256": "f777af8aaa13c9a7461463128703e6046d240c638f1d00698ed28e6fe4cc97bc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.12985",
    "kind": "arxiv",
    "version": 1
  }
}