Pith Number

pith:GY5JNW3H

pith:2026:GY5JNW3HCRA7IRSQQPVM3KGUEF

not attested not anchored not stored refs pending

An infinitesimal deformation of the post-Lie and post-Hopf algebra correspondence

Andrea Rivezzi, Andrea Sciandra, Thomas Weber

arxiv:2607.28009 v1 · 2026-07-30 · math.QA · math.CT · math.RA · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GY5JNW3HCRA7IRSQQPVM3KGUEF}

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	2026-07-31T01:35:15.174564Z
Builder	pith-number-builder-2026-05-17-v1
Signature	unsigned_v0
Schema	pith-number/v1.0

Canonical hash

363a96db671441f4465083eacda8d42168b01f88abea412d744b6f4037ed41d0

Aliases

arxiv: 2607.28009 · arxiv_version: 2607.28009v1 · doi: 10.48550/arxiv.2607.28009 · pith_short_12: GY5JNW3HCRA7 · pith_short_16: GY5JNW3HCRA7IRSQ · pith_short_8: GY5JNW3H

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/GY5JNW3HCRA7IRSQQPVM3KGUEF \
  | 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: 363a96db671441f4465083eacda8d42168b01f88abea412d744b6f4037ed41d0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d220d926fd9352126c66a726d46e4e896dc0ffca500c7bd9e1da2c6ae69e3a7c",
    "cross_cats_sorted": [
      "math.CT",
      "math.RA",
      "math.RT"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2026-07-30T10:57:28Z",
    "title_canon_sha256": "c3086a6aa099b0d01302315e8cfda8a0e6b4469f450caef8e91a53945ed7cff6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.28009",
    "kind": "arxiv",
    "version": 1
  }
}