Pith Number

pith:LCV3OHZK

pith:2022:LCV3OHZKRLPAR5UTN6QJOYDSSA

not attested not anchored not stored refs pending

Bialgebras overs another bialgebras and quasishuffle double bialgebras

Lo\"ic Foissy (LMPA)

arxiv:2204.03881 v3 · 2022-04-08 · 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{LCV3OHZKRLPAR5UTN6QJOYDSSA}

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.

Cited by

1 paper in Pith

TRAPs, Generalisations of MZVs, Locality and Resurgence for Quantum Field Theories

Receipt and verification

First computed	2026-07-05T05:39:01.208535Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

58abb71f2a8ade08f6936fa09760729007ea0a55244e22607b16a93562b311ee

Aliases

arxiv: 2204.03881 · arxiv_version: 2204.03881v3 · doi: 10.48550/arxiv.2204.03881 · pith_short_12: LCV3OHZKRLPA · pith_short_16: LCV3OHZKRLPAR5UT · pith_short_8: LCV3OHZK

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/LCV3OHZKRLPAR5UTN6QJOYDSSA \
  | 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: 58abb71f2a8ade08f6936fa09760729007ea0a55244e22607b16a93562b311ee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "21ac329220934c382d3b58ff16a1601029697acb91d2d910c299be1d6f992173",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2022-04-08T07:13:56Z",
    "title_canon_sha256": "432bfc7b7728492a23960413ae7eeafbf3c308b9529199a1099db9af0d681b22"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2204.03881",
    "kind": "arxiv",
    "version": 3
  }
}