Pith Number

pith:5LDDQTZO

pith:2025:5LDDQTZOQUBZM5GWE2FJB7DOJU

not attested not anchored not stored refs pending

On post-Lie structures for free Lie algebras

Annika Burmester, Ulf K\"uhn

arxiv:2504.19661 v1 · 2025-04-28 · math.NT · math-ph · math.CO · math.MP · 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{5LDDQTZOQUBZM5GWE2FJB7DOJU}

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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

Post-Lie deformations of pre-Lie algebras and their applications in Regularity Structures

Receipt and verification

First computed	2026-07-05T10:55:01.051935Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eac6384f2e85039674d6268a90fc6e4d129cafff7a16a6670dbfe7bf1916c3b1

Aliases

arxiv: 2504.19661 · arxiv_version: 2504.19661v1 · doi: 10.48550/arxiv.2504.19661 · pith_short_12: 5LDDQTZOQUBZ · pith_short_16: 5LDDQTZOQUBZM5GW · pith_short_8: 5LDDQTZO

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/5LDDQTZOQUBZM5GWE2FJB7DOJU \
  | 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: eac6384f2e85039674d6268a90fc6e4d129cafff7a16a6670dbfe7bf1916c3b1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3adff1debffc3df7e909cd839cd3be5ded1a3785a637863d591621efbd452357",
    "cross_cats_sorted": [
      "math-ph",
      "math.CO",
      "math.MP",
      "math.RA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2025-04-28T10:21:07Z",
    "title_canon_sha256": "e2734a9c51c9d7410085044689500fd37343f2c49c0b7913a5f397ed36b85074"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2504.19661",
    "kind": "arxiv",
    "version": 1
  }
}