Pith Number

pith:MVIBNY2S

pith:2009:MVIBNY2SDMJHRDZ3NEWLOMXIDY

not attested not anchored not stored refs pending

Classification of compact homogeneous spaces with invariant $G_2$-structures

Hong Van Le, Mobeen Munir

arxiv:0912.0169 v7 · 2009-12-01 · math.DG · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MVIBNY2SDMJHRDZ3NEWLOMXIDY}

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	2026-05-18T03:49:46.040707Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

655016e3521b12788f3b692cb732e81e05aacbd173aa573cf090f994ee6c2e0c

Aliases

arxiv: 0912.0169 · arxiv_version: 0912.0169v7 · doi: 10.48550/arxiv.0912.0169 · pith_short_12: MVIBNY2SDMJH · pith_short_16: MVIBNY2SDMJHRDZ3 · pith_short_8: MVIBNY2S

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/MVIBNY2SDMJHRDZ3NEWLOMXIDY \
  | 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: 655016e3521b12788f3b692cb732e81e05aacbd173aa573cf090f994ee6c2e0c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9f1d5ce97378670aeb89bf3a342014b9c76952007b61c15438a2ce855874d86e",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2009-12-01T14:47:19Z",
    "title_canon_sha256": "7c54503c96a70da84bb734a145833e9011f53e57b467b2c95dd32ee537545bc0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0912.0169",
    "kind": "arxiv",
    "version": 7
  }
}