Pith Number

pith:DKR2TTVB

pith:2015:DKR2TTVBGTTA5ODUAMGH4KLR4I

not attested not anchored not stored refs pending

Exact Scalar-Tensor Cosmological Solutions via Noether Symmetry

J. A. Belinch\'on, M. K. Mak, T. Harko

arxiv:1512.08054 v1 · 2015-12-25 · gr-qc · astro-ph.CO · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DKR2TTVBGTTA5ODUAMGH4KLR4I}

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	2026-05-18T01:21:25.623368Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1aa3a9cea134e60eb874030c7e2971e215cbae5b51e99242c650c21c3eef3343

Aliases

arxiv: 1512.08054 · arxiv_version: 1512.08054v1 · doi: 10.48550/arxiv.1512.08054 · pith_short_12: DKR2TTVBGTTA · pith_short_16: DKR2TTVBGTTA5ODU · pith_short_8: DKR2TTVB

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/DKR2TTVBGTTA5ODUAMGH4KLR4I \
  | 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: 1aa3a9cea134e60eb874030c7e2971e215cbae5b51e99242c650c21c3eef3343

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0cc4011cf4b962644f72876ed52cbdb17802916e90e5197cef54c89173e7e259",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2015-12-25T23:34:41Z",
    "title_canon_sha256": "eeddbda28bc0f1426dabcde316ad25e001165b9f29466ad6c44b6b3f63ec0953"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.08054",
    "kind": "arxiv",
    "version": 1
  }
}