Pith Number

pith:PFO2CWWJ

pith:2011:PFO2CWWJMZWQJ57GBP7HDMYGK4

not attested not anchored not stored refs pending

DDVV-type inequality for skew-symmetric matrices and Simons-type inequality for Riemannian submersions

Jianquan Ge

arxiv:1109.6853 v4 · 2011-09-30 · 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{PFO2CWWJMZWQJ57GBP7HDMYGK4}

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	2026-05-18T03:08:25.283349Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

795da15ac9666d04f7e60bfe71b3065714c47d845a3db0b9e79c53c3d3de5d98

Aliases

arxiv: 1109.6853 · arxiv_version: 1109.6853v4 · doi: 10.48550/arxiv.1109.6853 · pith_short_12: PFO2CWWJMZWQ · pith_short_16: PFO2CWWJMZWQJ57G · pith_short_8: PFO2CWWJ

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/PFO2CWWJMZWQJ57GBP7HDMYGK4 \
  | 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: 795da15ac9666d04f7e60bfe71b3065714c47d845a3db0b9e79c53c3d3de5d98

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e39fe7adb769edf2a82794966b8d332e92ad43d1b6795441ab966e2cb1b50cd7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2011-09-30T15:32:51Z",
    "title_canon_sha256": "41d3a4ce97d2984ce456a9dabf245dd4611d9fd961c68bc84b76abb35a0402ca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.6853",
    "kind": "arxiv",
    "version": 4
  }
}