Pith Number

pith:GAIN4BNJ

pith:2017:GAIN4BNJCGJ5DYMSDSIVO5DHKL

not attested not anchored not stored refs pending

Pre-inflationary universe in loop quantum cosmology

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

arxiv:1705.07544 v4 · 2017-05-22 · 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{GAIN4BNJCGJ5DYMSDSIVO5DHKL}

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

3 papers in Pith

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

Canonical quantization of all minisuperspaces with consistent symmetry reductions

Receipt and verification

First computed	2026-05-18T00:32:10.073705Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3010de05a91193d1e1921c9157746752c94b2a6ac9cacc520a2f39b76df15834

Aliases

arxiv: 1705.07544 · arxiv_version: 1705.07544v4 · doi: 10.48550/arxiv.1705.07544 · pith_short_12: GAIN4BNJCGJ5 · pith_short_16: GAIN4BNJCGJ5DYMS · pith_short_8: GAIN4BNJ

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/GAIN4BNJCGJ5DYMSDSIVO5DHKL \
  | 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: 3010de05a91193d1e1921c9157746752c94b2a6ac9cacc520a2f39b76df15834

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fe66e59d65a025fc2c2e0e64adc727f2b46945e5658c56a003c6d270402e548c",
    "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": "2017-05-22T03:03:16Z",
    "title_canon_sha256": "2adf7d06e5516722f19b76d0becd434e0818ef861dcc681424c07aabaae9d426"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.07544",
    "kind": "arxiv",
    "version": 4
  }
}