Pith Number

pith:5VA4YD7C

pith:2024:5VA4YD7C2PEGFPQCJO345JHOJY

not attested not anchored not stored refs pending

Free Novikov algebras and the Hopf algebra of decorated multi-indices

Dominique Manchon, Xing Gao, Zhicheng Zhu

arxiv:2404.09899 v4 · 2024-04-15 · math.CO · 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{5VA4YD7C2PEGFPQCJO345JHOJY}

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

Symmetries for the gKPZ equation via multi-indices

Receipt and verification

First computed	2026-07-05T09:11:25.545672Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ed41cc0fe2d3c862be024bb7cea4ee4e1778261d64739fa8cdaac2cdb8de2537

Aliases

arxiv: 2404.09899 · arxiv_version: 2404.09899v4 · doi: 10.48550/arxiv.2404.09899 · pith_short_12: 5VA4YD7C2PEG · pith_short_16: 5VA4YD7C2PEGFPQC · pith_short_8: 5VA4YD7C

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/5VA4YD7C2PEGFPQCJO345JHOJY \
  | 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: ed41cc0fe2d3c862be024bb7cea4ee4e1778261d64739fa8cdaac2cdb8de2537

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aef0ec44acdab6dc7e22099e8bc4bde92b1eabd38636d87de005e660e1710bd6",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2024-04-15T16:19:25Z",
    "title_canon_sha256": "3fc144a23eaa5eb546eab9b4eba01296d12804b15549076c48ba927b440fc2fe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2404.09899",
    "kind": "arxiv",
    "version": 4
  }
}