Pith Number

pith:V7V6QOYI

pith:2013:V7V6QOYIL4TU7PQAS24LOJZ6JQ

not attested not anchored not stored refs pending

On Slant Riemannian Submersions For Cosymplectic Manifolds

Cengizhan Murathan, \.Irem K\"upeli Erken

arxiv:1311.3657 v1 · 2013-11-14 · 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{V7V6QOYIL4TU7PQAS24LOJZ6JQ}

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	2026-05-18T03:07:04.183983Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

afebe83b085f274fbe0096b8b7273e4c171beacaad2193367f2d5644cdb814b2

Aliases

arxiv: 1311.3657 · arxiv_version: 1311.3657v1 · doi: 10.48550/arxiv.1311.3657 · pith_short_12: V7V6QOYIL4TU · pith_short_16: V7V6QOYIL4TU7PQA · pith_short_8: V7V6QOYI

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/V7V6QOYIL4TU7PQAS24LOJZ6JQ \
  | 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: afebe83b085f274fbe0096b8b7273e4c171beacaad2193367f2d5644cdb814b2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8be5f3db15ee5a5c196065c37416814ec3abd404d7a67cd0e396d7f0f4d7d0c4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-11-14T20:56:43Z",
    "title_canon_sha256": "3821770a2a7571c92cc4750c1dc7d592c1e774bd76508279a10df629850edab4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.3657",
    "kind": "arxiv",
    "version": 1
  }
}