Pith Number

pith:V22R2BLI

pith:2026:V22R2BLI7FML5GXTZVWMD7BPXH

not attested not anchored not stored refs pending

The Hidden Subgroup Problem in Semidirect Products and Quasi-Hamiltonian Groups

Mauro E.S. Morales

arxiv:2608.05321 v1 · 2026-08-05 · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{V22R2BLI7FML5GXTZVWMD7BPXH}

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	2026-08-07T00:47:00.540486Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aeb51d0568f958be9af3cd6cc1fc2fb9cf5ead4b5bf95ef876177446b12f9511

Aliases

arxiv: 2608.05321 · arxiv_version: 2608.05321v1 · doi: 10.48550/arxiv.2608.05321 · pith_short_12: V22R2BLI7FML · pith_short_16: V22R2BLI7FML5GXT · pith_short_8: V22R2BLI

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/V22R2BLI7FML5GXTZVWMD7BPXH \
  | 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: aeb51d0568f958be9af3cd6cc1fc2fb9cf5ead4b5bf95ef876177446b12f9511

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4b8f242de50858c709343ba1a95e83a5a803ded0cf5ffbd12a45586ae6bdc5c6",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-08-05T18:25:25Z",
    "title_canon_sha256": "3e3aefd32b2f3e848374ae492970210e6439d9b34366cbe4a870d1c8f4d96f53"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.05321",
    "kind": "arxiv",
    "version": 1
  }
}