Pith Number

pith:4TSMKKLB

pith:2022:4TSMKKLBPVW6MBSJRQU3B2VKNN

not attested not anchored not stored refs pending

On the history of Lie brackets, crossed modules, and Lie-Rinehart algebras

Johannes Huebschmann

arxiv:2208.02539 v1 · 2022-08-04 · math.HO · math.AT · math.DG · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4TSMKKLBPVW6MBSJRQU3B2VKNN}

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

DREG: A Layer-Wise Jacobian Regularization as a General-Purpose Penalty

Receipt and verification

First computed	2026-07-05T04:46:05.563880Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e4e4c529617d6de606498c29b0eaaa6b486ac6e93ac3dd43b49596666dc9d010

Aliases

arxiv: 2208.02539 · arxiv_version: 2208.02539v1 · doi: 10.48550/arxiv.2208.02539 · pith_short_12: 4TSMKKLBPVW6 · pith_short_16: 4TSMKKLBPVW6MBSJ · pith_short_8: 4TSMKKLB

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/4TSMKKLBPVW6MBSJRQU3B2VKNN \
  | 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: e4e4c529617d6de606498c29b0eaaa6b486ac6e93ac3dd43b49596666dc9d010

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "532b9f2d2fb0b6b11d58af14e246e413f0362706866684a9ebba3d714c376e4d",
    "cross_cats_sorted": [
      "math.AT",
      "math.DG",
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.HO",
    "submitted_at": "2022-08-04T09:12:57Z",
    "title_canon_sha256": "8445b4e0fb7f33ac1caa98635252908ef6ed3174e5e0f7d924e233b39398b29e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2208.02539",
    "kind": "arxiv",
    "version": 1
  }
}