Pith Number

pith:LG324FJ5

pith:2015:LG324FJ5ZC4LHDFTSKHDTIHIXS

not attested not anchored not stored refs pending

Cleft extensions of a family of braided Hopf algebras

Jorge A. Guccione, Juan J. Guccione, Mauricio Da Rocha

arxiv:1507.01553 v1 · 2015-07-06 · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LG324FJ5ZC4LHDFTSKHDTIHIXS}

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	2026-05-18T01:37:16.616207Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

59b7ae153dc8b8b38cb3928e39a0e8bc8f0b6d4b945bb71d95a31a0a089f4af1

Aliases

arxiv: 1507.01553 · arxiv_version: 1507.01553v1 · doi: 10.48550/arxiv.1507.01553 · pith_short_12: LG324FJ5ZC4L · pith_short_16: LG324FJ5ZC4LHDFT · pith_short_8: LG324FJ5

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/LG324FJ5ZC4LHDFTSKHDTIHIXS \
  | 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: 59b7ae153dc8b8b38cb3928e39a0e8bc8f0b6d4b945bb71d95a31a0a089f4af1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5d88c4619609f48c528688983abe3a28b9efd6f1fc4ff0827f4caa7260954bd6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2015-07-06T18:26:54Z",
    "title_canon_sha256": "d9c7784ada2b0db9adc939d707d802fd82d690e6028fdafc7e5a767ff2804519"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.01553",
    "kind": "arxiv",
    "version": 1
  }
}