Pith Number

pith:PPQKD4VP

pith:2012:PPQKD4VPSMPBSOUFRWZNDYYK7T

not attested not anchored not stored refs pending

Gluing Riemannian manifolds with curvature operators at least k

Arthur Schlichting

arxiv:1210.2957 v1 · 2012-10-10 · 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{PPQKD4VPSMPBSOUFRWZNDYYK7T}

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.

Cited by

1 paper in Pith

Glued spaces and lower Ricci curvature bounds

Receipt and verification

First computed	2026-05-18T03:43:30.996394Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7be0a1f2af931e193a858db2d1e30afcd7481d007e73edd6af0245f315b71c12

Aliases

arxiv: 1210.2957 · arxiv_version: 1210.2957v1 · doi: 10.48550/arxiv.1210.2957 · pith_short_12: PPQKD4VPSMPB · pith_short_16: PPQKD4VPSMPBSOUF · pith_short_8: PPQKD4VP

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/PPQKD4VPSMPBSOUFRWZNDYYK7T \
  | 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: 7be0a1f2af931e193a858db2d1e30afcd7481d007e73edd6af0245f315b71c12

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a7ced4c4a5fa2d88de05614710924cf580c708141d946c582af70cb7d59769f6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-10-10T15:33:05Z",
    "title_canon_sha256": "ec13abc88f0a366db8f77dd3aa055e5302ed557bbcb051b4ed09877d72b29dfd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.2957",
    "kind": "arxiv",
    "version": 1
  }
}