Pith Number

pith:KY4QVDCY

pith:2016:KY4QVDCYXJMSSXY4N6SRITVZ5U

not attested not anchored not stored refs pending

On Hopf algebroid structure of kappa-deformed Heisenberg algebra

Jerzy Lukierski, Mariusz Woronowicz, Zoran \v{S}koda

arxiv:1601.01590 v1 · 2016-01-07 · math-ph · hep-th · math.MP · 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{KY4QVDCYXJMSSXY4N6SRITVZ5U}

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	2026-05-18T00:39:03.279200Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

56390a8c58ba59295f1c6fa5144eb9ed0317c295135e8a12defb0e6d12029669

Aliases

arxiv: 1601.01590 · arxiv_version: 1601.01590v1 · doi: 10.48550/arxiv.1601.01590 · pith_short_12: KY4QVDCYXJMS · pith_short_16: KY4QVDCYXJMSSXY4 · pith_short_8: KY4QVDCY

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/KY4QVDCYXJMSSXY4N6SRITVZ5U \
  | 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: 56390a8c58ba59295f1c6fa5144eb9ed0317c295135e8a12defb0e6d12029669

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f927210057ef19cd8a71936023aa809c6b4bdcbdda0008b377e5bb71ea69c271",
    "cross_cats_sorted": [
      "hep-th",
      "math.MP",
      "math.QA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2016-01-07T16:33:38Z",
    "title_canon_sha256": "6ccf3f8415513157a2cd104ba5a46256fe7832ae4348e96eb2ae8942a399c3d5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.01590",
    "kind": "arxiv",
    "version": 1
  }
}