Pith Number

pith:IRA7NME5

pith:2001:IRA7NME5CSY3WXGUCTGRJFOUDN

not attested not anchored not stored refs pending

Quantum Cosmology With R+R^2 Gravity

A.K.Sanyal, B.Modak

arxiv:gr-qc/0107070 v1 · 2001-07-21 · 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{IRA7NME5CSY3WXGUCTGRJFOUDN}

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.

Cited by

1 paper in Pith

Thermodynamics of FLRW universe in Quadratic Gravity

Receipt and verification

First computed	2026-07-04T15:29:19.926624Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4441f6b09d14b1bb5cd414cd1495d41b48b4f77220a8bd247d05a419085f1a80

Aliases

arxiv: gr-qc/0107070 · arxiv_version: gr-qc/0107070v1 · doi: 10.48550/arxiv.gr-qc/0107070 · pith_short_12: IRA7NME5CSY3 · pith_short_16: IRA7NME5CSY3WXGU · pith_short_8: IRA7NME5

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/IRA7NME5CSY3WXGUCTGRJFOUDN \
  | 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: 4441f6b09d14b1bb5cd414cd1495d41b48b4f77220a8bd247d05a419085f1a80

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9dc4aeebbe9bc330ac039fca563e39569a07328c393e62f7a613d8f4443c29c5",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2001-07-21T08:27:12Z",
    "title_canon_sha256": "1dd6e8a8bfec99d7f4ff0c21e94bc1b642e528410c73c6360294154b0e1f79b0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0107070",
    "kind": "arxiv",
    "version": 1
  }
}