Pith Number

pith:4QMLAVPQ

pith:2010:4QMLAVPQULXWJBRDY2IWSXKXAE

not attested not anchored not stored refs pending

Lie algebroid Fibrations

Chenchang Zhu, O. Brahic

arxiv:1001.4904 v2 · 2010-01-27 · math.DG · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4QMLAVPQULXWJBRDY2IWSXKXAE}

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	2026-05-18T04:08:34.996255Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e418b055f0a2ef648623c691695d57012e2d51ab6d32ad8300a3b6675d52af90

Aliases

arxiv: 1001.4904 · arxiv_version: 1001.4904v2 · doi: 10.48550/arxiv.1001.4904 · pith_short_12: 4QMLAVPQULXW · pith_short_16: 4QMLAVPQULXWJBRD · pith_short_8: 4QMLAVPQ

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/4QMLAVPQULXWJBRDY2IWSXKXAE \
  | 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: e418b055f0a2ef648623c691695d57012e2d51ab6d32ad8300a3b6675d52af90

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "991e29e1a976707979336564df6230b2ecde983f4331d2963c5407e9d5c4573a",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2010-01-27T16:41:50Z",
    "title_canon_sha256": "b988390b21b41f2615818a94b8a89980c68992ff00b6740560df5b2e309c72fc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1001.4904",
    "kind": "arxiv",
    "version": 2
  }
}