Pith Number

pith:TYIT5ODT

pith:2013:TYIT5ODTJCUW4LKDKJMIDSYMI6

not attested not anchored not stored refs pending

On the global existence of generalized rotational hypersurfaces with prescribed mean curvature in the Euclidean spaces, II

Takeyuki Nagasawa

arxiv:1307.3082 v1 · 2013-07-11 · math.DG · math.AP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TYIT5ODTJCUW4LKDKJMIDSYMI6}

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	2026-05-18T03:18:41.277783Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9e113eb87348a96e2d43525881cb0c478a9c9d13a6854be87c637e398e03f5f7

Aliases

arxiv: 1307.3082 · arxiv_version: 1307.3082v1 · doi: 10.48550/arxiv.1307.3082 · pith_short_12: TYIT5ODTJCUW · pith_short_16: TYIT5ODTJCUW4LKD · pith_short_8: TYIT5ODT

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/TYIT5ODTJCUW4LKDKJMIDSYMI6 \
  | 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: 9e113eb87348a96e2d43525881cb0c478a9c9d13a6854be87c637e398e03f5f7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6a224773a0920501472df785e19b24a10e648b675d5abfa7c145762d81ea53ab",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-07-11T12:07:39Z",
    "title_canon_sha256": "dd2b909b15a6d03eacbc4f423c17e1b34b8d84d90d97929412be5619876e5dcb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.3082",
    "kind": "arxiv",
    "version": 1
  }
}