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Pith Number

pith:UZAHNBOD

pith:2012:UZAHNBODPKO3TUHOPCNOKS3KRL
not attested not anchored not stored refs pending

Manifolds with almost nonnegative curvature operator and principal bundles

Dennis Sebastian, Martin Herrmann, Wilderich Tuschmann

arxiv:1204.6676 v1 · 2012-04-30 · math.DG

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{UZAHNBODPKO3TUHOPCNOKS3KRL}

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 2026-05-18T02:41:43.216898Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

a6407685c37a9db9d0ee789ae54b6a8ae89fac5877daedeef830f00276d6c8ba

Aliases

arxiv: 1204.6676 · arxiv_version: 1204.6676v1 · doi: 10.48550/arxiv.1204.6676 · pith_short_12: UZAHNBODPKO3 · pith_short_16: UZAHNBODPKO3TUHO · pith_short_8: UZAHNBOD
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/UZAHNBODPKO3TUHOPCNOKS3KRL \
  | 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: a6407685c37a9db9d0ee789ae54b6a8ae89fac5877daedeef830f00276d6c8ba
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "3df01dc580acc8fde0a0f31c6b73b1247d4ff6567e319536db5abc9f5530906e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-04-30T16:00:00Z",
    "title_canon_sha256": "b6f78d0e8e47e015d5c0d75deed9239180e568344a314dd4dc27c4163bcfa1d3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.6676",
    "kind": "arxiv",
    "version": 1
  }
}