Pith Number

pith:J77KIZHK

pith:2021:J77KIZHKWIBS5PCZ3754JKWONA

not attested not anchored not stored refs pending

Maurer-Cartan characterizations and cohomologies of compatible Lie algebras

Chengming Bai, Jifeng Liu, Yunhe Sheng

arxiv:2102.04742 v1 · 2021-02-09 · math-ph · 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{J77KIZHKWIBS5PCZ3754JKWONA}

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	2026-07-05T06:45:56.079451Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4ffea464eab2032ebc59dffbc4aace68238e49f6440361965a34913450b8ab24

Aliases

arxiv: 2102.04742 · arxiv_version: 2102.04742v1 · doi: 10.48550/arxiv.2102.04742 · pith_short_12: J77KIZHKWIBS · pith_short_16: J77KIZHKWIBS5PCZ · pith_short_8: J77KIZHK

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/J77KIZHKWIBS5PCZ3754JKWONA \
  | 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: 4ffea464eab2032ebc59dffbc4aace68238e49f6440361965a34913450b8ab24

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fd500a036d22f2e05b8f561a83bbca638be08b8f8a79de6d9d8e770b63aab30a",
    "cross_cats_sorted": [
      "math.MP",
      "math.RA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2021-02-09T10:17:07Z",
    "title_canon_sha256": "c75471811d7801d3f5309cc8024be0fb4f3cbee76dd925b4e358076cf05064fd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2102.04742",
    "kind": "arxiv",
    "version": 1
  }
}