pith. sign in
Pith Number

pith:DU4NYU3Z

pith:2012:DU4NYU3ZQ7YNY7JUOTPAPFFT5T
not attested not anchored not stored refs pending

Interacting Generalised Cosmic Chaplygin gas in Loop quantum cosmology: A singularity free universe

Howrah), Prabir Rudra (Bengal Engin. Sci. U., Ratul Chowdhury (Jadavpur U.)

arxiv:1204.3531 v1 · 2012-04-13 · physics.gen-ph · gr-qc

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{DU4NYU3ZQ7YNY7JUOTPAPFFT5T}

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 2026-05-18T01:57:51.969979Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

1d38dc537987f0dc7d3474de0794b3ecc2f3aaef421208d52724a5c7e46a2ed6

Aliases

arxiv: 1204.3531 · arxiv_version: 1204.3531v1 · doi: 10.48550/arxiv.1204.3531 · pith_short_12: DU4NYU3ZQ7YN · pith_short_16: DU4NYU3ZQ7YNY7JU · pith_short_8: DU4NYU3Z
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/DU4NYU3ZQ7YNY7JUOTPAPFFT5T \
  | 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: 1d38dc537987f0dc7d3474de0794b3ecc2f3aaef421208d52724a5c7e46a2ed6
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "be7c0f91a3c981df2aa51e6733b1ed203c63813c47b80a4f25cdeed6d422a42a",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.gen-ph",
    "submitted_at": "2012-04-13T17:00:56Z",
    "title_canon_sha256": "e23460f50d0952628a0dc33f7c210eeb8a5cac0d4dfa85cdd192516d94386562"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.3531",
    "kind": "arxiv",
    "version": 1
  }
}