Pith Number

pith:Z3DGC43M

pith:2015:Z3DGC43MPNUWIE5PHPBJP2NBXW

not attested not anchored not stored refs pending

Closed-form solutions of the Wheeler-DeWitt equation in a scalar-vector field cosmological model by Lie symmetries

Andronikos Paliathanasis, Babak Vakili

arxiv:1512.05434 v1 · 2015-12-17 · gr-qc · astro-ph.CO · hep-th · 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{Z3DGC43MPNUWIE5PHPBJP2NBXW}

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.

Cited by

2 papers in Pith

Canonical quantization of all minisuperspaces with consistent symmetry reductions

Receipt and verification

First computed	2026-05-18T01:23:33.234173Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cec661736c7b696413af3bc297e9a1bdb43586ede6774cf0907a05a13c70475a

Aliases

arxiv: 1512.05434 · arxiv_version: 1512.05434v1 · doi: 10.48550/arxiv.1512.05434 · pith_short_12: Z3DGC43MPNUW · pith_short_16: Z3DGC43MPNUWIE5P · pith_short_8: Z3DGC43M

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/Z3DGC43MPNUWIE5PHPBJP2NBXW \
  | 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: cec661736c7b696413af3bc297e9a1bdb43586ede6774cf0907a05a13c70475a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "df05f33551b8db6b1d90bb7974fa9f86b65c373b85f8df91b637cc748a32eb75",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "hep-th",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2015-12-17T01:27:51Z",
    "title_canon_sha256": "c389bc1a5db69d1522eb29ba3728fdd77ffd4ef9cba3d525f630c8bc71fad119"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.05434",
    "kind": "arxiv",
    "version": 1
  }
}