Pith Number

pith:X2L3SHAK

pith:2016:X2L3SHAKADXTQYELQFQJLCQFB6

not attested not anchored not stored refs pending

Structure of irreducibly covariant quantum channels for finite groups

Marek Mozrzymas, Micha{\l} Studzi\'nski, Nilanjana Datta

arxiv:1610.05657 v2 · 2016-10-18 · 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{X2L3SHAKADXTQYELQFQJLCQFB6}

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	2026-05-18T00:43:43.403050Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

be97b91c0a00ef38608b8160958a050fb7eb6546ab47b55d55b6a7b42219f472

Aliases

arxiv: 1610.05657 · arxiv_version: 1610.05657v2 · doi: 10.48550/arxiv.1610.05657 · pith_short_12: X2L3SHAKADXT · pith_short_16: X2L3SHAKADXTQYEL · pith_short_8: X2L3SHAK

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/X2L3SHAKADXTQYELQFQJLCQFB6 \
  | 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: be97b91c0a00ef38608b8160958a050fb7eb6546ab47b55d55b6a7b42219f472

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3562e3c6a4152fbb019852c1cea60e27db1779d0e8eaad3c1c35cc046db83cbd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2016-10-18T14:58:22Z",
    "title_canon_sha256": "709c8df6b45900271a60e8b84108e236f363f8d91ff99aa233b33b0dc5566000"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.05657",
    "kind": "arxiv",
    "version": 2
  }
}