Pith Number

pith:LHZMX5YN

pith:2007:LHZMX5YNCFCYI7D3NJSHI7GXGI

not attested not anchored not stored refs pending

Omni-Lie algebroids

Z. Chen, Z.-J. Liu

arxiv:0710.1923 v1 · 2007-10-10 · math-ph · math.MP · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LHZMX5YNCFCYI7D3NJSHI7GXGI}

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	2026-07-04T15:04:49.292014Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

59f2cbf70d1145847c7b6a64747cd7321edd1d9f85ae34e29bbfe24dbe9307b5

Aliases

arxiv: 0710.1923 · arxiv_version: 0710.1923v1 · doi: 10.48550/arxiv.0710.1923 · pith_short_12: LHZMX5YNCFCY · pith_short_16: LHZMX5YNCFCYI7D3 · pith_short_8: LHZMX5YN

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/LHZMX5YNCFCYI7D3NJSHI7GXGI \
  | 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: 59f2cbf70d1145847c7b6a64747cd7321edd1d9f85ae34e29bbfe24dbe9307b5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3f72f4981fb608ac26bbd9d0a3f0e5a4305db4c1956eeb1327e4dc86f297ab32",
    "cross_cats_sorted": [
      "math.MP",
      "math.SG"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2007-10-10T04:29:24Z",
    "title_canon_sha256": "50ee9a63769bf3a4e69f29def32afcac35fb8aba04f398acf4de2ca1d11a1bdd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0710.1923",
    "kind": "arxiv",
    "version": 1
  }
}