Pith Number

pith:EEFWEARM

pith:2007:EEFWEARMB7MXYWFXGGU4RVQQ35

not attested not anchored not stored refs pending

The Cohomology of Transitive Lie Algebroids

Z. Chen, Z.-J. Liu

arxiv:0712.4228 v1 · 2007-12-27 · math.DG · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EEFWEARMB7MXYWFXGGU4RVQQ35}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T00:37:38.922559Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

210b62022c0fd97c58b731a9c8d610df44cf2f3a816979d7a5a31dbc02397cea

Aliases

arxiv: 0712.4228 · arxiv_version: 0712.4228v1 · doi: 10.48550/arxiv.0712.4228 · pith_short_12: EEFWEARMB7MX · pith_short_16: EEFWEARMB7MXYWFX · pith_short_8: EEFWEARM

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/EEFWEARMB7MXYWFXGGU4RVQQ35 \
  | 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: 210b62022c0fd97c58b731a9c8d610df44cf2f3a816979d7a5a31dbc02397cea

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2c431779c1389c35283cd643d491be7d7b3ce0612c3773e9482c65777f4b16e2",
    "cross_cats_sorted": [
      "math.SG"
    ],
    "license": "",
    "primary_cat": "math.DG",
    "submitted_at": "2007-12-27T12:53:04Z",
    "title_canon_sha256": "fc7b89e1e56eea3d05db2c080fdcf5fc27dcba6f5cf2b76ecebbf3f57321ffde"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0712.4228",
    "kind": "arxiv",
    "version": 1
  }
}