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Pith Number

pith:J4INTONK

pith:2013:J4INTONKEII7HQA4YEJKZTJKQJ
not attested not anchored not stored refs pending

Anti-Invariant Riemannian Submersions from Cosymplectic Manifolds

C. Murathan, I. K\"upeli Erken

arxiv:1302.5108 v1 · 2013-02-20 · math.DG

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{J4INTONKEII7HQA4YEJKZTJKQJ}

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 2026-05-18T03:13:56.039343Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

4f10d9b9aa2211f3c01cc112accd2a827e19fe7aaf6d93bfc290d6e94b14b631

Aliases

arxiv: 1302.5108 · arxiv_version: 1302.5108v1 · doi: 10.48550/arxiv.1302.5108 · pith_short_12: J4INTONKEII7 · pith_short_16: J4INTONKEII7HQA4 · pith_short_8: J4INTONK
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/J4INTONKEII7HQA4YEJKZTJKQJ \
  | 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: 4f10d9b9aa2211f3c01cc112accd2a827e19fe7aaf6d93bfc290d6e94b14b631
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "fff3075094fb1f28f044c1dfcd073c629a709955538dd801d3f89e89ef0c9554",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-02-20T14:11:10Z",
    "title_canon_sha256": "022f38e5203a9be92c9b0326432b3be219079dd009ed52cf1325921548a9e451"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.5108",
    "kind": "arxiv",
    "version": 1
  }
}