Pith Number

pith:DBGXMQG4

pith:2017:DBGXMQG4UE2N52P6PLTUEZV4S6

not attested not anchored not stored refs pending

On quadri-bialgebras

Chengming Bai, Xiang Ni

arxiv:1704.04781 v2 · 2017-04-16 · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DBGXMQG4UE2N52P6PLTUEZV4S6}

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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.

Cited by

1 paper in Pith

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

Receipt and verification

First computed	2026-07-05T00:56:22.143840Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

184d7640dca134dee9fe7ae74266bc979427e45e4b62323af97c8ddeb3363783

Aliases

arxiv: 1704.04781 · arxiv_version: 1704.04781v2 · doi: 10.48550/arxiv.1704.04781 · pith_short_12: DBGXMQG4UE2N · pith_short_16: DBGXMQG4UE2N52P6 · pith_short_8: DBGXMQG4

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/DBGXMQG4UE2N52P6PLTUEZV4S6 \
  | 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: 184d7640dca134dee9fe7ae74266bc979427e45e4b62323af97c8ddeb3363783

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8545cc7bbc78dac0546606a425dd7673bf7b67835a0acc662441047cac593e82",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2017-04-16T14:59:17Z",
    "title_canon_sha256": "8f253ac910da91315e5e49c23d276612876bb092a00f6bd47c5a61c99aa9a4c5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1704.04781",
    "kind": "arxiv",
    "version": 2
  }
}