Pith Number

pith:KNIVEYYP

pith:2001:KNIVEYYPD2UHDGA3NN4BEZVCED

not attested not anchored not stored refs pending

Decoupling of Translations from Homogeneous Transformations in Inhomogeneous Quantum Groups

Gaetano Fiore

arxiv:math/0112248 v1 · 2001-12-21 · math.QA · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KNIVEYYPD2UHDGA3NN4BEZVCED}

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	2026-05-18T00:37:07.966804Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

535152630f1ea871981b6b781266a220dd5d4525298fbdd80c38f2a1f11dcb2e

Aliases

arxiv: math/0112248 · arxiv_version: math/0112248v1 · doi: 10.48550/arxiv.math/0112248 · pith_short_12: KNIVEYYPD2UH · pith_short_16: KNIVEYYPD2UHDGA3 · pith_short_8: KNIVEYYP

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/KNIVEYYPD2UHDGA3NN4BEZVCED \
  | 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: 535152630f1ea871981b6b781266a220dd5d4525298fbdd80c38f2a1f11dcb2e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "00f17d4214f0c79d9eec9c16ec26f64d72fe36134c1e59783aacb7912ca50882",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "",
    "primary_cat": "math.QA",
    "submitted_at": "2001-12-21T16:11:41Z",
    "title_canon_sha256": "537373518f7f601ac7532921c34f49303c69eb1c78ef3c99fc8b79e0c023fee7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0112248",
    "kind": "arxiv",
    "version": 1
  }
}