Pith Number

pith:QNZGWIQH

pith:2025:QNZGWIQHPP3FCMOZDBOB7FZCW4

not attested not anchored not stored refs pending

Bialgebras induced by special left Alia algebras

Chan Zhao, Huihui Zheng, Tianshui Ma

arxiv:2506.07061 v1 · 2025-06-08 · 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{QNZGWIQHPP3FCMOZDBOB7FZCW4}

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	2026-07-05T11:18:00.628496Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

83726b22077bf65131d9185c1f9722b72c21ea342eed7607af367d74558d3c90

Aliases

arxiv: 2506.07061 · arxiv_version: 2506.07061v1 · doi: 10.48550/arxiv.2506.07061 · pith_short_12: QNZGWIQHPP3F · pith_short_16: QNZGWIQHPP3FCMOZ · pith_short_8: QNZGWIQH

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/QNZGWIQHPP3FCMOZDBOB7FZCW4 \
  | 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: 83726b22077bf65131d9185c1f9722b72c21ea342eed7607af367d74558d3c90

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d1e70301455d8ae5e5719afc8a7c4eb3062838147d8fd6e52389e3642b585e74",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2025-06-08T09:44:25Z",
    "title_canon_sha256": "f8a497641d073d66a0dd7e796455b34769552c53b6bfe6804224e44a1d597b04"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.07061",
    "kind": "arxiv",
    "version": 1
  }
}