Pith Number

pith:GO75PBBB

pith:2021:GO75PBBBUB5KRGXSB4GZ4W3XDH

not attested not anchored not stored refs pending

Loop Quantum Gravity on Dynamical Lattice and Improved Cosmological Effective Dynamics with Inflaton

Hongguang Liu, Muxin Han

arxiv:2101.07659 v1 · 2021-01-19 · gr-qc · astro-ph.CO · 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{GO75PBBBUB5KRGXSB4GZ4W3XDH}

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	2026-07-05T02:57:41.575818Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

33bfd78421a07aa89af20f0d9e5b7719cc937a9b87ad258f7ac0cc699036b285

Aliases

arxiv: 2101.07659 · arxiv_version: 2101.07659v1 · doi: 10.48550/arxiv.2101.07659 · pith_short_12: GO75PBBBUB5K · pith_short_16: GO75PBBBUB5KRGXS · pith_short_8: GO75PBBB

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/GO75PBBBUB5KRGXSB4GZ4W3XDH \
  | 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: 33bfd78421a07aa89af20f0d9e5b7719cc937a9b87ad258f7ac0cc699036b285

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "048a5bbac43190d377cb006ce71e1cc7391ae73e62cb8c5ada731ffac6120363",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2021-01-19T14:49:55Z",
    "title_canon_sha256": "af5448405b8968a4bc53c4107f518b10d9a90597c99a94a69cca8925d3e87693"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2101.07659",
    "kind": "arxiv",
    "version": 1
  }
}