Pith Number

pith:XYQCHTO2

pith:2015:XYQCHTO2FSTXT5FKXX5LRZM4KP

not attested not anchored not stored refs pending

Scalar perturbations in the late Universe: viability of the Chaplygin gas models

Alexander Zhuk, Jo\~ao Morais, Mariam Bouhmadi-L\'opez, Maxim Brilenkov, Ruslan Brilenkov

arxiv:1509.06963 v2 · 2015-09-12 · gr-qc · astro-ph.CO · hep-ph · 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{XYQCHTO2FSTXT5FKXX5LRZM4KP}

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	2026-05-18T01:24:03.221215Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

be2023cdda2ca779f4aabdfab8e59c53f12c31e89fa62487f26743fceb20de7e

Aliases

arxiv: 1509.06963 · arxiv_version: 1509.06963v2 · doi: 10.48550/arxiv.1509.06963 · pith_short_12: XYQCHTO2FSTX · pith_short_16: XYQCHTO2FSTXT5FK · pith_short_8: XYQCHTO2

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/XYQCHTO2FSTXT5FKXX5LRZM4KP \
  | 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: be2023cdda2ca779f4aabdfab8e59c53f12c31e89fa62487f26743fceb20de7e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "639b3b2f46cb8e567ac0eaa6cecbf15dad0ab1def15e828f63bcac34f4602143",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "hep-ph",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2015-09-12T10:59:07Z",
    "title_canon_sha256": "983554d78a5fd6fcd2e7789bbe54610a86a52f326c7d983b6e7f17b902f03b8b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.06963",
    "kind": "arxiv",
    "version": 2
  }
}