Pith Number

pith:E4FPSQCY

pith:2023:E4FPSQCY2T4QEAU5QJCKO545CO

not attested not anchored not stored refs pending

Deformations and abelian extensions of compatible pre-Lie algebras

Liangyun Chen, Shanshan Liu

arxiv:2302.07178 v1 · 2023-02-07 · 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{E4FPSQCY2T4QEAU5QJCKO545CO}

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	2026-07-05T05:41:47.989508Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

270af94058d4f902029d8244a7779d13af11a0e2e6e0b97b670ab48ff4e44c19

Aliases

arxiv: 2302.07178 · arxiv_version: 2302.07178v1 · doi: 10.48550/arxiv.2302.07178 · pith_short_12: E4FPSQCY2T4Q · pith_short_16: E4FPSQCY2T4QEAU5 · pith_short_8: E4FPSQCY

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/E4FPSQCY2T4QEAU5QJCKO545CO \
  | 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: 270af94058d4f902029d8244a7779d13af11a0e2e6e0b97b670ab48ff4e44c19

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bb433d7c1825c93356a328c1f3c31408fa667761ddbd2ecc0575cc43d453fe90",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2023-02-07T09:37:45Z",
    "title_canon_sha256": "c5227b9ee6043803844b6d8ff3cf2d4705d5281661567832830a6dc030ca720c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2302.07178",
    "kind": "arxiv",
    "version": 1
  }
}