Pith Number

pith:GC4XRX2V

pith:2026:GC4XRX2VWGOXTPULFRVRP3K67Z

not attested not anchored not stored refs pending

Infinite-dimensional pre-Lie bialgebras induced from Leibniz-dendriform bialgebras and Zinbiel-dendriform bialgebras

Qinxiu Sun

arxiv:2606.31735 v1 · 2026-06-30 · 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{GC4XRX2VWGOXTPULFRVRP3K67Z}

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	2026-07-01T01:18:13.209353Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

30b978df55b19d79be8b2c6b17ed5efe7e2d62b889ad693a935e3dea74c885a1

Aliases

arxiv: 2606.31735 · arxiv_version: 2606.31735v1 · doi: 10.48550/arxiv.2606.31735 · pith_short_12: GC4XRX2VWGOX · pith_short_16: GC4XRX2VWGOXTPUL · pith_short_8: GC4XRX2V

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/GC4XRX2VWGOXTPULFRVRP3K67Z \
  | 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: 30b978df55b19d79be8b2c6b17ed5efe7e2d62b889ad693a935e3dea74c885a1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b37b27e61ebf116d5ca4fb5d6899c28f0af14c39611fbcb767038a5551191fff",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2026-06-30T14:32:51Z",
    "title_canon_sha256": "bf62a1bd93b6261ae1b5d0e16bea092136e7b935263548c784533c7a2e605a18"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.31735",
    "kind": "arxiv",
    "version": 1
  }
}