Pith Number

pith:LPO32VGJ

pith:2011:LPO32VGJ634NCA3H55SDE5QAO2

not attested not anchored not stored refs pending

Yang-Mills connections of cohomogeneity one on SO(n)-bundles over Euclidean spheres

Andreas Gastel

arxiv:1107.5952 v1 · 2011-07-29 · 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{LPO32VGJ634NCA3H55SDE5QAO2}

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	2026-05-18T04:16:40.155870Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5bddbd54c9f6f8d10367ef6432760076aae1edfb3e0a0b641bdd6579d800d437

Aliases

arxiv: 1107.5952 · arxiv_version: 1107.5952v1 · doi: 10.48550/arxiv.1107.5952 · pith_short_12: LPO32VGJ634N · pith_short_16: LPO32VGJ634NCA3H · pith_short_8: LPO32VGJ

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/LPO32VGJ634NCA3H55SDE5QAO2 \
  | 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: 5bddbd54c9f6f8d10367ef6432760076aae1edfb3e0a0b641bdd6579d800d437

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c2d1189e42f9d49fa783ecde649764e4cd27f4408607bb26b5ba553e6be80e57",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2011-07-29T12:35:20Z",
    "title_canon_sha256": "6059c794e0ae1bf7ecf5c87dc6eb0439382435186af383121fb15217f570d3d4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.5952",
    "kind": "arxiv",
    "version": 1
  }
}