Pith Number

pith:IVOKMKPW

pith:2002:IVOKMKPW62XCC3QNGUTMH7GP4G

not attested not anchored not stored refs pending

The Existence of Cartan Connections and Geometrizable Principal Bundles

Mohamed Barakat

arxiv:math/0206136 v2 · 2002-06-13 · 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{IVOKMKPW62XCC3QNGUTMH7GP4G}

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	2026-05-18T00:55:52.474455Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

455ca629f6f6ae216e0d3526c3fccfe18351efc0d0e90423425195bc0b47604c

Aliases

arxiv: math/0206136 · arxiv_version: math/0206136v2 · doi: 10.48550/arxiv.math/0206136 · pith_short_12: IVOKMKPW62XC · pith_short_16: IVOKMKPW62XCC3QN · pith_short_8: IVOKMKPW

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/IVOKMKPW62XCC3QNGUTMH7GP4G \
  | 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: 455ca629f6f6ae216e0d3526c3fccfe18351efc0d0e90423425195bc0b47604c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "75f419db19958413ab297690e74181788fdc35822b85df52c714a173f179833a",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.DG",
    "submitted_at": "2002-06-13T15:13:41Z",
    "title_canon_sha256": "028b58d15892e3d3eaebeac008464fc4a5052825ffb149b838c871f8752b3f1c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0206136",
    "kind": "arxiv",
    "version": 2
  }
}