Pith Number

pith:HNLZ6JR3

pith:2010:HNLZ6JR33SZRIDFKEO7ZWCVFXA

not attested not anchored not stored refs pending

Solutions of the Klein-Gordon equation on manifolds with variable geometry including dimensional reduction

D.V. Shirkov, P. P. Fiziev

arxiv:1009.5309 v2 · 2010-09-27 · hep-th · gr-qc · math-ph · 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{HNLZ6JR33SZRIDFKEO7ZWCVFXA}

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	2026-05-18T04:20:14.617259Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3b579f263bdcb3140caa23bf9b0aa5b825261d18f6b2f0e2d207d379c83c089c

Aliases

arxiv: 1009.5309 · arxiv_version: 1009.5309v2 · doi: 10.48550/arxiv.1009.5309 · pith_short_12: HNLZ6JR33SZR · pith_short_16: HNLZ6JR33SZRIDFK · pith_short_8: HNLZ6JR3

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/HNLZ6JR33SZRIDFKEO7ZWCVFXA \
  | 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: 3b579f263bdcb3140caa23bf9b0aa5b825261d18f6b2f0e2d207d379c83c089c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e0de5b989c8d29fcda8c0411cb7ac81e3aeee8b929b828dac58d8c6e439758e2",
    "cross_cats_sorted": [
      "gr-qc",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2010-09-27T16:10:21Z",
    "title_canon_sha256": "aaa833b1b1a6a298f709dbb2cf33defef7bc057b8dad64fce9200fae44ab9ed2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.5309",
    "kind": "arxiv",
    "version": 2
  }
}