Pith Number

pith:TFDRH7PP

pith:2011:TFDRH7PPTALWVWH54U4HPHTKVC

not attested not anchored not stored refs pending

Braided Tensor Products and the Covariance of Quantum Noncommutative Free Fields

Jerzy Lukierski, Mariusz Woronowicz (IFT, Wroclaw Univ.)

arxiv:1105.3612 v4 · 2011-05-18 · hep-th · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TFDRH7PPTALWVWH54U4HPHTKVC}

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	2026-05-18T02:01:56.564629Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

994713fdef98176ad8fde538779e6aa888900458d3340de7ab2f4be45523ef72

Aliases

arxiv: 1105.3612 · arxiv_version: 1105.3612v4 · doi: 10.48550/arxiv.1105.3612 · pith_short_12: TFDRH7PPTALW · pith_short_16: TFDRH7PPTALWVWH5 · pith_short_8: TFDRH7PP

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/TFDRH7PPTALWVWH54U4HPHTKVC \
  | 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: 994713fdef98176ad8fde538779e6aa888900458d3340de7ab2f4be45523ef72

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4f1ef2d5992017c38e44dc4d4b4abdb330579a88c4a17c4d998eac1bf12ca06b",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2011-05-18T12:52:37Z",
    "title_canon_sha256": "3d8e317154b40f2dd130c8d70137d7ecd89b0680bbcbcd0223e689d9baf6492d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.3612",
    "kind": "arxiv",
    "version": 4
  }
}