Pith Number

pith:AKR2LZH2

pith:2014:AKR2LZH2ON4GVZ6B4VP66HI333

not attested not anchored not stored refs pending

Invariant Submanifolds of a Generalized Kenmotsu Manifold

Aysel Turgut Vanli, Ramazan Sari

arxiv:1410.4662 v1 · 2014-10-17 · 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{AKR2LZH2ON4GVZ6B4VP66HI333}

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	2026-05-18T02:39:55.067004Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

02a3a5e4fa73786ae7c1e55fef1d1bdef4634f3ad3380319c7235d6ec4b5f0f2

Aliases

arxiv: 1410.4662 · arxiv_version: 1410.4662v1 · doi: 10.48550/arxiv.1410.4662 · pith_short_12: AKR2LZH2ON4G · pith_short_16: AKR2LZH2ON4GVZ6B · pith_short_8: AKR2LZH2

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/AKR2LZH2ON4GVZ6B4VP66HI333 \
  | 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: 02a3a5e4fa73786ae7c1e55fef1d1bdef4634f3ad3380319c7235d6ec4b5f0f2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c9e195027e49ed1dcb40d852eb89e6cf146f7ffd42fe01cd31cc478828f9a8c3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2014-10-17T08:43:17Z",
    "title_canon_sha256": "4f7e3542ea54221f40a75728fce4c7232f2b330da1b0c9bb59ce3d87dc9b1ac3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.4662",
    "kind": "arxiv",
    "version": 1
  }
}