Pith Number

pith:ZZUAIFUH

pith:2015:ZZUAIFUHHAF5OEMHNXBAFZ6TI3

not attested not anchored not stored refs pending

Connections on non-symmetric (generalized) Riemannian manifold and gravity

Milan Zlatanovi\"c, Stefan Ivanov

An almost Hermitian manifold admits a skew-torsion connection obeying the Einstein metricity condition on a non-symmetric metric precisely when it is Nearly Kähler.

arxiv:1503.05217 v1 · 2015-03-17 · math.DG · gr-qc · hep-th

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\usepackage{pith}
\pithnumber{ZZUAIFUHHAF5OEMHNXBAFZ6TI3}

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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.

Claims

C1strongest claim

An almost Hermitian manifold is an NGT with torsion if and only if it is a Nearly Kähler manifold.

C2weakest assumption

The Einstein metricity condition imposed on a non-symmetric metric is compatible with a skew-symmetric torsion connection; this is taken as the definition of NGT-with-torsion and is not derived from a variational principle.

C3one line summary

An almost Hermitian manifold admits an NGT-with-torsion connection precisely when it is Nearly Kähler, with parallel characterizations given for contact and para-structures via Nijenhuis tensors.

Formal links

2 machine-checked theorem links

Receipt and verification

First computed	2026-05-18T01:18:47.537001Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ce68041687380bd711876dc202e7d346c9234e5e6c6867aa56d486f453bd83f3

Aliases

arxiv: 1503.05217 · arxiv_version: 1503.05217v1 · doi: 10.48550/arxiv.1503.05217 · pith_short_12: ZZUAIFUHHAF5 · pith_short_16: ZZUAIFUHHAF5OEMH · pith_short_8: ZZUAIFUH

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/ZZUAIFUHHAF5OEMHNXBAFZ6TI3 \
  | 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: ce68041687380bd711876dc202e7d346c9234e5e6c6867aa56d486f453bd83f3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1f9723e0addd411aeaff90eb2433ae1216aab980e5862f06969fa9549616b30a",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2015-03-17T20:59:44Z",
    "title_canon_sha256": "925412c85df5e4711546791512b46db15963d496b242d27fb2d05a94d590a437"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.05217",
    "kind": "arxiv",
    "version": 1
  }
}