Pith Number

pith:ZKMJF7GA

pith:2015:ZKMJF7GAIHYE2F5SQYZVMNWWDN

not attested not anchored not stored refs pending

Detecting quantum gravitational effects of loop quantum cosmology in the early universe?

Anzhong Wang, Gerald Cleaver, Klaus Kirsten, Qiang Wu, Qin Sheng, Tao Zhu

arxiv:1503.06761 v4 · 2015-03-23 · 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{ZKMJF7GAIHYE2F5SQYZVMNWWDN}

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

Stable initial conditions and analytical investigations of cosmological perturbations in a modified loop quantum cosmology

Receipt and verification

First computed	2026-05-18T01:36:01.352223Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ca9892fcc041f04d17b286335636d61b468146e8c95e7c6f632ef4ce173ecf8c

Aliases

arxiv: 1503.06761 · arxiv_version: 1503.06761v4 · doi: 10.48550/arxiv.1503.06761 · pith_short_12: ZKMJF7GAIHYE · pith_short_16: ZKMJF7GAIHYE2F5S · pith_short_8: ZKMJF7GA

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/ZKMJF7GAIHYE2F5SQYZVMNWWDN \
  | 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: ca9892fcc041f04d17b286335636d61b468146e8c95e7c6f632ef4ce173ecf8c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1387a3a835c9245f016b49eb25102da647861828d27ce766afb62b988fb4469b",
    "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": "2015-03-23T18:45:23Z",
    "title_canon_sha256": "79200baf2fb0ef73966a784b252437189e2ac0c5d90e26cd0528cd808896d778"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.06761",
    "kind": "arxiv",
    "version": 4
  }
}