Pith Number

pith:352L4PK2

pith:2025:352L4PK2BIRMPKIWIKEVRTJ4HY

not attested not anchored not stored refs pending

Quasi-triangular and factorizable Poisson bialgebras

Dilei Lu, Yuanchang Lin

arxiv:2506.21870 v2 · 2025-06-27 · 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{352L4PK2BIRMPKIWIKEVRTJ4HY}

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	2026-05-27T14:06:37.294609Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

df74be3d5a0a22c7a916428958cd3c3e29a475c3841df0f62b5bde536299f9a2

Aliases

arxiv: 2506.21870 · arxiv_version: 2506.21870v2 · doi: 10.48550/arxiv.2506.21870 · pith_short_12: 352L4PK2BIRM · pith_short_16: 352L4PK2BIRMPKIW · pith_short_8: 352L4PK2

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/352L4PK2BIRMPKIWIKEVRTJ4HY \
  | 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: df74be3d5a0a22c7a916428958cd3c3e29a475c3841df0f62b5bde536299f9a2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fa1da0461c80add293282a98cf313b4bcd79cf395e9643b965b20052c8b73cea",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2025-06-27T02:57:40Z",
    "title_canon_sha256": "b631d6564187e3864f042ff4f2b2fb8a19ff5ff75b4062705130946a33f2ea7a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.21870",
    "kind": "arxiv",
    "version": 2
  }
}