Pith Number

pith:VUUP3Q5A

pith:2011:VUUP3Q5AVRKIVKN4R7XOPF3JXP

not attested not anchored not stored refs pending

The (2+1)-dim Axial Universes -- Solutions to the Einstein Equations, Dimensional Reduction Points, and Klein-Fock-Gordon Waves

D. V. Shirkov, P. P. Fiziev

arxiv:1104.0903 v4 · 2011-04-05 · gr-qc · astro-ph.CO · 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{VUUP3Q5AVRKIVKN4R7XOPF3JXP}

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	2026-05-18T04:03:43.338697Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ad28fdc3a0ac548aa9bc8feee79769bbccfad4cbd6d32c3637588ee41528d3d6

Aliases

arxiv: 1104.0903 · arxiv_version: 1104.0903v4 · doi: 10.48550/arxiv.1104.0903 · pith_short_12: VUUP3Q5AVRKI · pith_short_16: VUUP3Q5AVRKIVKN4 · pith_short_8: VUUP3Q5A

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/VUUP3Q5AVRKIVKN4R7XOPF3JXP \
  | 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: ad28fdc3a0ac548aa9bc8feee79769bbccfad4cbd6d32c3637588ee41528d3d6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "179898f5cd9e47d39a1bb6e5aa9305a60592b7bb4a80e446e01ca79417b2bdd1",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2011-04-05T18:01:01Z",
    "title_canon_sha256": "e1a96a75bb77074b686e363dbe23b28169962d7085f05c48f377ae1f1c939a79"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.0903",
    "kind": "arxiv",
    "version": 4
  }
}