Pith Number

pith:DLHDO6OA

pith:2010:DLHDO6OADQ6H6PXJ77CSVKQE6I

not attested not anchored not stored refs pending

A_2-singularities of hypersurfaces with non-negative sectional curvature in Euclidean space

Kentaro Saji, Kotaro Yamada, Masaaki Umehara

arxiv:1011.1544 v1 · 2010-11-06 · 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{DLHDO6OADQ6H6PXJ77CSVKQE6I}

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	2026-05-18T04:36:50.942850Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1ace3779c01c3c7f3ee9ffc52aaa04f21847d0d18b68d78212a50bb499dd0fd0

Aliases

arxiv: 1011.1544 · arxiv_version: 1011.1544v1 · doi: 10.48550/arxiv.1011.1544 · pith_short_12: DLHDO6OADQ6H · pith_short_16: DLHDO6OADQ6H6PXJ · pith_short_8: DLHDO6OA

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/DLHDO6OADQ6H6PXJ77CSVKQE6I \
  | 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: 1ace3779c01c3c7f3ee9ffc52aaa04f21847d0d18b68d78212a50bb499dd0fd0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "31f3247fa992958b63680b693185402c87be9559008674d01339183dce68cc40",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2010-11-06T08:03:08Z",
    "title_canon_sha256": "79a65a2dd37d169d21a57f6cf039b2b34a9d65fbd059bdc17575be8ddc0bbafd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.1544",
    "kind": "arxiv",
    "version": 1
  }
}