Pith Number

pith:RZ6CCI2S

pith:2012:RZ6CCI2SV72PWJPRU4V752JDGR

not attested not anchored not stored refs pending

A PBW theorem for inclusions of (sheaves of) Lie algebroids

Damien Calaque

arxiv:1205.3214 v2 · 2012-05-14 · math.QA · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RZ6CCI2SV72PWJPRU4V752JDGR}

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	2026-05-18T01:22:19.270175Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8e7c212352aff4fb25f1a72bfee92334757495b2f5d403dea42e2cb4ead701d8

Aliases

arxiv: 1205.3214 · arxiv_version: 1205.3214v2 · doi: 10.48550/arxiv.1205.3214 · pith_short_12: RZ6CCI2SV72P · pith_short_16: RZ6CCI2SV72PWJPR · pith_short_8: RZ6CCI2S

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/RZ6CCI2SV72PWJPRU4V752JDGR \
  | 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: 8e7c212352aff4fb25f1a72bfee92334757495b2f5d403dea42e2cb4ead701d8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "32db2b2e14e0024fc8f46d0567c128c47ed14edbe45544a77b64bb2da50ff24d",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2012-05-14T22:57:38Z",
    "title_canon_sha256": "5fefe198460d43afa843fbda8cbfed532f66a3fdb3b6aa8e7912676c02753bd5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.3214",
    "kind": "arxiv",
    "version": 2
  }
}