Pith Number

pith:6VGR6KBY

pith:1999:6VGR6KBYOIIVQUSWBUTASD3N35

not attested not anchored not stored refs pending

Linearization Problems for Lie Algebroids and Lie Groupoids

Alan Weinstein

arxiv:math/9912189 v1 · 1999-12-22 · math.DG · 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{6VGR6KBYOIIVQUSWBUTASD3N35}

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	2026-07-04T14:41:32.624465Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f54d1f283872115852560d26090f6ddf75afbc7de1cc945cf6e9fd77086d0d3c

Aliases

arxiv: math/9912189 · arxiv_version: math/9912189v1 · doi: 10.48550/arxiv.math/9912189 · pith_short_12: 6VGR6KBYOIIV · pith_short_16: 6VGR6KBYOIIVQUSW · pith_short_8: 6VGR6KBY

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/6VGR6KBYOIIVQUSWBUTASD3N35 \
  | 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: f54d1f283872115852560d26090f6ddf75afbc7de1cc945cf6e9fd77086d0d3c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "db1464a7b5e783dcbe701227885a90b6334fd3324b4b46ce311cecbce2564344",
    "cross_cats_sorted": [
      "math.SG"
    ],
    "license": "",
    "primary_cat": "math.DG",
    "submitted_at": "1999-12-22T18:57:01Z",
    "title_canon_sha256": "6ec539db6575d37325d7ee4e070903f83179779097c6b2b9bbc7d02e68d842a8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9912189",
    "kind": "arxiv",
    "version": 1
  }
}