Pith Number

pith:ROPQYKSF

pith:2015:ROPQYKSF2C73GNMXYIGBLDQ24T

not attested not anchored not stored refs pending

Quantum deformations of D=4 Euclidean, Lorentz, Kleinian and quaternionic o^*(4) symmetries in unified o(4;C) setting

A. Borowiec, J. Lukierski, V.N. Tolstoy

arxiv:1511.03653 v3 · 2015-11-11 · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ROPQYKSF2C73GNMXYIGBLDQ24T}

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	2026-05-18T01:17:32.713634Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8b9f0c2a45d0bfb33597c20c158e1ae4fc03aa9b62a77a9c5ac04e1eab3a9bc1

Aliases

arxiv: 1511.03653 · arxiv_version: 1511.03653v3 · doi: 10.48550/arxiv.1511.03653 · pith_short_12: ROPQYKSF2C73 · pith_short_16: ROPQYKSF2C73GNMX · pith_short_8: ROPQYKSF

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/ROPQYKSF2C73GNMXYIGBLDQ24T \
  | 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: 8b9f0c2a45d0bfb33597c20c158e1ae4fc03aa9b62a77a9c5ac04e1eab3a9bc1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "66efb4ba563854ca9e1daa52c696d6315d6b5dca5507426159979709280ff771",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2015-11-11T20:56:22Z",
    "title_canon_sha256": "fbac43d018a9dbd08e211c2408d87a7e5239e7523294934252b5ee2332cc4bd5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.03653",
    "kind": "arxiv",
    "version": 3
  }
}