Pith Number

pith:FUWDMN43

pith:2012:FUWDMN43FO2QMUNOOMGZHDJ2PG

not attested not anchored not stored refs pending

Effects of quantum gravity on the inflationary parameters and thermodynamics of the early universe

A. Farag Ali (Benha U.), A. Tawfik (Egyptian Ctr. Theor. Phys., Berlin), Cairo), Cairo & Freie U., H. Magdy (Egyptian Ctr. Theor. Phys.

arxiv:1208.5655 v2 · 2012-08-28 · gr-qc · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FUWDMN43FO2QMUNOOMGZHDJ2PG}

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	2026-05-18T03:25:43.760889Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2d2c36379b2bb50651ae730d938d3a799398034f2c1c307a764d51921dc28f9a

Aliases

arxiv: 1208.5655 · arxiv_version: 1208.5655v2 · doi: 10.48550/arxiv.1208.5655 · pith_short_12: FUWDMN43FO2Q · pith_short_16: FUWDMN43FO2QMUNO · pith_short_8: FUWDMN43

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/FUWDMN43FO2QMUNOOMGZHDJ2PG \
  | 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: 2d2c36379b2bb50651ae730d938d3a799398034f2c1c307a764d51921dc28f9a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "39d8c61a4493823cce79a79d6fbe393814c0c1d2600382336bdc95461ffdd7ec",
    "cross_cats_sorted": [
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2012-08-28T13:27:21Z",
    "title_canon_sha256": "71f39698b0d87e30bbb03f09e2f466bd4ea00b3e0dc54dfd3c914ccf1c293672"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.5655",
    "kind": "arxiv",
    "version": 2
  }
}