Pith Number

pith:KBTTZVPH

pith:2013:KBTTZVPHVSNN6COZVKS6R2SGWT

not attested not anchored not stored refs pending

Kaluza-Klein theory revisited: projective structures and differential operators on algebra of densities

H.M.Khudaverdian

arxiv:1312.5208 v2 · 2013-12-18 · math-ph · math.DG · 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{KBTTZVPHVSNN6COZVKS6R2SGWT}

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	2026-05-18T01:45:44.584480Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

50673cd5e7ac9adf09d9aaa5e8ea46b4f9b8a75ba43734596e318cc5f84be76e

Aliases

arxiv: 1312.5208 · arxiv_version: 1312.5208v2 · doi: 10.48550/arxiv.1312.5208 · pith_short_12: KBTTZVPHVSNN · pith_short_16: KBTTZVPHVSNN6COZ · pith_short_8: KBTTZVPH

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/KBTTZVPHVSNN6COZVKS6R2SGWT \
  | 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: 50673cd5e7ac9adf09d9aaa5e8ea46b4f9b8a75ba43734596e318cc5f84be76e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6ea3525bf22f531a0f6e5144f59d1f97ee7cb3c975d66841b29b713b2d57ddb2",
    "cross_cats_sorted": [
      "math.DG",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2013-12-18T16:30:52Z",
    "title_canon_sha256": "bf6f2077980dc144d9fd41b2d88758c34f61c117b18ceb38a1fa8361b52c10e4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.5208",
    "kind": "arxiv",
    "version": 2
  }
}