Pith Number

pith:DA2X7KI7

pith:2017:DA2X7KI7N7L4D3YPUKX4YQ7S2T

not attested not anchored not stored refs pending

Quantum Bernstein's Theorem and the Hyperoctahedral Quantum Group

Kamil Szpojankowski, Pawe{\l} J\'oziak

arxiv:1706.09629 v1 · 2017-06-29 · math.OA · math.PR · 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{DA2X7KI7N7L4D3YPUKX4YQ7S2T}

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	2026-05-18T00:09:31.138784Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

18357fa91f6fd7c1ef0fa2afcc43f2d4dd0fed42739f221d446f45cb4efd022d

Aliases

arxiv: 1706.09629 · arxiv_version: 1706.09629v1 · doi: 10.48550/arxiv.1706.09629 · pith_short_12: DA2X7KI7N7L4 · pith_short_16: DA2X7KI7N7L4D3YP · pith_short_8: DA2X7KI7

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/DA2X7KI7N7L4D3YPUKX4YQ7S2T \
  | 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: 18357fa91f6fd7c1ef0fa2afcc43f2d4dd0fed42739f221d446f45cb4efd022d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "93d00d1fd3c90def3b50d6d3a91f2a35dffb8caca9eeeaaa803aaab32c867a23",
    "cross_cats_sorted": [
      "math.PR",
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2017-06-29T08:54:10Z",
    "title_canon_sha256": "a2315a0f240a71853a98be5d93c11f61c2ce8c5d126649809caf0f0e78ff9cb1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.09629",
    "kind": "arxiv",
    "version": 1
  }
}