Pith Number

pith:7Z3SZXGB

pith:2025:7Z3SZXGBZ4I36QN4DLVQAEF2Q3

not attested not anchored not stored refs pending

Partial Group Symmetry in Figures I: Semidirect Products and the Six Coins

Takahiro Hayashi

arxiv:2506.14304 v2 · 2025-06-17 · math.GR · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7Z3SZXGBZ4I36QN4DLVQAEF2Q3}

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

Higher Segal spaces and partial groups

Receipt and verification

First computed	2026-07-05T11:59:15.953733Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fe772cdcc1cf11bf41bc1aeb0010ba86e2f0bf9d7730d7c6ceca3bbb1e0f0adc

Aliases

arxiv: 2506.14304 · arxiv_version: 2506.14304v2 · doi: 10.48550/arxiv.2506.14304 · pith_short_12: 7Z3SZXGBZ4I3 · pith_short_16: 7Z3SZXGBZ4I36QN4 · pith_short_8: 7Z3SZXGB

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/7Z3SZXGBZ4I36QN4DLVQAEF2Q3 \
  | 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: fe772cdcc1cf11bf41bc1aeb0010ba86e2f0bf9d7730d7c6ceca3bbb1e0f0adc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "62ea258124e8da8a1d3ebcb4f2d55735e2f9725923c2f00855c9144e1d202334",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2025-06-17T08:30:45Z",
    "title_canon_sha256": "c81606f594ecbd4c8be6a86b8e295566aa3d26c67cb9719fc384b9d9c50afd05"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.14304",
    "kind": "arxiv",
    "version": 2
  }
}