Pith Number

pith:Q756XY35

pith:2022:Q756XY35XIIYCUL7R5O35257LV

not attested not anchored not stored refs pending

Alternative $k=-1$ loop quantum cosmology

Cong Zhang, Jinsong Yang, Xiangdong Zhang

arxiv:2212.05748 v2 · 2022-12-12 · 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{Q756XY35XIIYCUL7R5O35257LV}

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

Unitary evolution and cosmic acceleration in Loop Quantum Cosmology

Receipt and verification

First computed	2026-07-05T05:44:27.199601Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

87fbebe37dba1181517f8f5dbeebbf5d57de547b66e92f88d76e03a2e892a55d

Aliases

arxiv: 2212.05748 · arxiv_version: 2212.05748v2 · doi: 10.48550/arxiv.2212.05748 · pith_short_12: Q756XY35XIIY · pith_short_16: Q756XY35XIIYCUL7 · pith_short_8: Q756XY35

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/Q756XY35XIIYCUL7R5O35257LV \
  | 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: 87fbebe37dba1181517f8f5dbeebbf5d57de547b66e92f88d76e03a2e892a55d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2895cfacdb2d89a4bfc56e6b764a4fcc06bfb1fce18314d3ec51c07ab135b4a1",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2022-12-12T07:58:07Z",
    "title_canon_sha256": "9895b32cce0935ed1336f71af6d853c26a56b9d6f6482663180eeaa0380d0600"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2212.05748",
    "kind": "arxiv",
    "version": 2
  }
}