Pith Number

pith:PDRUKEEL

pith:2012:PDRUKEELOVPZGPTJFJVKGHI2QY

not attested not anchored not stored refs pending

Effect of Lee-Wick thermodynamics in the cosmology of the early universe

Kaushik Bhattacharya, Suratna Das

arxiv:1208.0191 v2 · 2012-08-01 · hep-ph · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PDRUKEELOVPZGPTJFJVKGHI2QY}

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	2026-05-18T03:40:15.976455Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

78e345108b755f933e692a6aa31d1a8637d890db613520b7ae41bd1803c899a7

Aliases

arxiv: 1208.0191 · arxiv_version: 1208.0191v2 · doi: 10.48550/arxiv.1208.0191 · pith_short_12: PDRUKEELOVPZ · pith_short_16: PDRUKEELOVPZGPTJ · pith_short_8: PDRUKEEL

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/PDRUKEELOVPZGPTJFJVKGHI2QY \
  | 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: 78e345108b755f933e692a6aa31d1a8637d890db613520b7ae41bd1803c899a7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0ed96a49bc748854cb4470efdef6061905dd593987b4b1ad291a92d4c4f18814",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://creativecommons.org/licenses/publicdomain/",
    "primary_cat": "hep-ph",
    "submitted_at": "2012-08-01T12:37:21Z",
    "title_canon_sha256": "a7414c8b41356b39a98ddebeb559ec209f09897b42cecaf9eb124a25458927e1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.0191",
    "kind": "arxiv",
    "version": 2
  }
}