Pith Number

pith:6QRMW5V4

pith:2013:6QRMW5V4SFEWOAVE3RK6DHNJ5Z

not attested not anchored not stored refs pending

Noether symmetries and analytical solutions in f(T)-cosmology: A complete study

A. Paliathanasis, M. De Laurentis, M. Tsamparlis, S. Basilakos, S. Capozziello

arxiv:1311.2173 v1 · 2013-11-09 · 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{6QRMW5V4SFEWOAVE3RK6DHNJ5Z}

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	2026-05-18T01:46:32.661594Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f422cb76bc91496702a4dc55e19da9ee642b8724947674138ce4630cde223dda

Aliases

arxiv: 1311.2173 · arxiv_version: 1311.2173v1 · doi: 10.48550/arxiv.1311.2173 · pith_short_12: 6QRMW5V4SFEW · pith_short_16: 6QRMW5V4SFEWOAVE · pith_short_8: 6QRMW5V4

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/6QRMW5V4SFEWOAVE3RK6DHNJ5Z \
  | 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: f422cb76bc91496702a4dc55e19da9ee642b8724947674138ce4630cde223dda

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "21ae9b144dd8ce35a166753efcb0acb35344bb1eb04d107b2ef6c68f219d3b8c",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2013-11-09T14:31:13Z",
    "title_canon_sha256": "e155bb052fb855a754031b70bdc796365e7f48f9e0481030c2d9d533c651240e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.2173",
    "kind": "arxiv",
    "version": 1
  }
}