Pith Number

pith:P2YDCBYA

pith:2026:P2YDCBYAOA4LHUBJYU3T7HM3O2

not attested not anchored not stored refs pending

Loop Quantum Kaluza-Klein Cosmology and Inflation

Faqiang Yuan, Shengzhi Li, Xiangdong Zhang, Yongge Ma

arxiv:2605.15858 v1 · 2026-05-15 · 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{P2YDCBYAOA4LHUBJYU3T7HM3O2}

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	2026-05-20T00:01:22.300649Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7eb03107007038b3d029c5373f9d9b76a7a49e4844ec3feca6ad6f9904c323ef

Aliases

arxiv: 2605.15858 · arxiv_version: 2605.15858v1 · doi: 10.48550/arxiv.2605.15858 · pith_short_12: P2YDCBYAOA4L · pith_short_16: P2YDCBYAOA4LHUBJ · pith_short_8: P2YDCBYA

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/P2YDCBYAOA4LHUBJYU3T7HM3O2 \
  | 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: 7eb03107007038b3d029c5373f9d9b76a7a49e4844ec3feca6ad6f9904c323ef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e38a55b0403f5743865773a88a60a5b8c15250bc53620e5783bc6886921d5669",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2026-05-15T11:15:33Z",
    "title_canon_sha256": "19cb31c4ce728ced4443efe779cb7e3fc0c1ce85c379bb4117da10e3e3284d2d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.15858",
    "kind": "arxiv",
    "version": 1
  }
}