Pith Number

pith:OTSENXLJ

pith:2019:OTSENXLJLRVTKCZV2WVVB4NNHM

not attested not anchored not stored refs pending

On Hom-pre-Lie bialgebras

Abdenacer Makhlouf, Lina Song, Shanshan Liu

arxiv:1912.13418 v1 · 2019-12-27 · 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{OTSENXLJLRVTKCZV2WVVB4NNHM}

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	2026-07-05T00:29:08.665522Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

74e446dd695c6b350b35d5ab50f1ad3b3af8c4e53111b7462ce4c58f96820383

Aliases

arxiv: 1912.13418 · arxiv_version: 1912.13418v1 · doi: 10.48550/arxiv.1912.13418 · pith_short_12: OTSENXLJLRVT · pith_short_16: OTSENXLJLRVTKCZV · pith_short_8: OTSENXLJ

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/OTSENXLJLRVTKCZV2WVVB4NNHM \
  | 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: 74e446dd695c6b350b35d5ab50f1ad3b3af8c4e53111b7462ce4c58f96820383

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "343f3c4bd3812ab947cf63aa0e0f7ef5a28fe2bbabd6e4e63f52d9a689277c92",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2019-12-27T10:50:31Z",
    "title_canon_sha256": "aa1a05b763dbc34ce95a60bbc99943954ad7a85f2a530ad78067408b6b7d9d36"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1912.13418",
    "kind": "arxiv",
    "version": 1
  }
}