Pith Number

pith:PUKZQP2K

pith:2006:PUKZQP2KYKPINUEYLSKI2NKGL7

not attested not anchored not stored refs pending

Violation of Strong Energy Condition in Effective Loop Quantum Cosmology

Hua-Hui Xiong, Jian-Yang Zhu

arxiv:gr-qc/0604053 v2 · 2006-04-11 · 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{PUKZQP2KYKPINUEYLSKI2NKGL7}

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	2026-05-18T04:38:36.893745Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7d15983f4ac29e86d0985c948d35465fd3480d5a7975ae66bd27cac01f8b3dfa

Aliases

arxiv: gr-qc/0604053 · arxiv_version: gr-qc/0604053v2 · doi: 10.48550/arxiv.gr-qc/0604053 · pith_short_12: PUKZQP2KYKPI · pith_short_16: PUKZQP2KYKPINUEY · pith_short_8: PUKZQP2K

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/PUKZQP2KYKPINUEYLSKI2NKGL7 \
  | 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: 7d15983f4ac29e86d0985c948d35465fd3480d5a7975ae66bd27cac01f8b3dfa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f3cf435c9f3801097f58de3957b84a3c207d0c858cfa1f5acc958715ad55707f",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2006-04-11T12:10:22Z",
    "title_canon_sha256": "0a1d55a113467a17a1374c40d023cb0010c64c42400379be6fcb52645d1afa14"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0604053",
    "kind": "arxiv",
    "version": 2
  }
}