Pith Number

pith:FMCOLGB7

pith:2010:FMCOLGB7HSWW2MNBNJSX43BR33

not attested not anchored not stored refs pending

Riemannian $\mathbf{(1+d)}$-Dim Space-Time Manifolds with Nonstandard Topology which Admit Dimensional Reduction to Any Lower Dimension and Transformation of the Klein-Gordon Equation to the $\mathbf{1}$-Dim Schr\"odinger Like Equation

Plamen Fiziev

arxiv:1012.3520 v1 · 2010-12-16 · math-ph · gr-qc · hep-th · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FMCOLGB7HSWW2MNBNJSX43BR33}

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	2026-05-18T04:33:06.471855Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2b04e5983f3cad6d31a16a657e6c31ded714cd687a5037d04e85791423f7fd02

Aliases

arxiv: 1012.3520 · arxiv_version: 1012.3520v1 · doi: 10.48550/arxiv.1012.3520 · pith_short_12: FMCOLGB7HSWW · pith_short_16: FMCOLGB7HSWW2MNB · pith_short_8: FMCOLGB7

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/FMCOLGB7HSWW2MNBNJSX43BR33 \
  | 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: 2b04e5983f3cad6d31a16a657e6c31ded714cd687a5037d04e85791423f7fd02

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4c9644675a1be294860e6a0f927908b15a9fab8e354ff076dfa5a87ceace798d",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-th",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2010-12-16T06:37:28Z",
    "title_canon_sha256": "fc94a3eff683ba2148df66b434d5e3aa6105d4db367bffe6378e40a0bf5bcafa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.3520",
    "kind": "arxiv",
    "version": 1
  }
}