Pith Number

pith:HOXW4UJK

pith:2019:HOXW4UJK5TKQQ342H722PODKP5

not attested not anchored not stored refs pending

Quantum increasing sequences generate quantum permutation groups

Pawe{\l} J\'oziak

arxiv:1904.07721 v1 · 2019-04-15 · math.QA · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HOXW4UJK5TKQQ342H722PODKP5}

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	2026-05-17T23:48:24.380202Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3baf6e512aecd5086f9a3ff5a7b86a7f4169852dc53892be53505267799b29ad

Aliases

arxiv: 1904.07721 · arxiv_version: 1904.07721v1 · doi: 10.48550/arxiv.1904.07721 · pith_short_12: HOXW4UJK5TKQ · pith_short_16: HOXW4UJK5TKQQ342 · pith_short_8: HOXW4UJK

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/HOXW4UJK5TKQQ342H722PODKP5 \
  | 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: 3baf6e512aecd5086f9a3ff5a7b86a7f4169852dc53892be53505267799b29ad

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c1311c0f84591fd2849f9481bdaf373fd1bc9dae12443af2804b856fbb13fa08",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2019-04-15T15:58:33Z",
    "title_canon_sha256": "71834e8f32b0c238b997e2e4faa2990a2d3ee00684c21f8a35034720a6ca89b0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.07721",
    "kind": "arxiv",
    "version": 1
  }
}