Pith Number

pith:NVMMHP43

pith:2007:NVMMHP43QEKUJTZILQXCMS7QVS

not attested not anchored not stored refs pending

Effect of the Inverse Volume Modification in Loop Quantum Cosmology

Hua-Hui Xiong, Jian-Yang Zhu

arxiv:gr-qc/0702002 v2 · 2007-02-01 · 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{NVMMHP43QEKUJTZILQXCMS7QVS}

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	2026-05-18T04:26:55.741848Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6d58c3bf9b811544cf285c2e264bf0acb056708c2032b22fab6211a562fb3029

Aliases

arxiv: gr-qc/0702002 · arxiv_version: gr-qc/0702002v2 · doi: 10.48550/arxiv.gr-qc/0702002 · pith_short_12: NVMMHP43QEKU · pith_short_16: NVMMHP43QEKUJTZI · pith_short_8: NVMMHP43

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/NVMMHP43QEKUJTZILQXCMS7QVS \
  | 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: 6d58c3bf9b811544cf285c2e264bf0acb056708c2032b22fab6211a562fb3029

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5254e6965a0b260bc27318a213c194cfed0a58ded927f8cd698c85a33229db68",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2007-02-01T04:58:06Z",
    "title_canon_sha256": "120115d040e35f100e6138c07dc8bad802bbc66ff8c885cbbcef4ee1dea742c6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0702002",
    "kind": "arxiv",
    "version": 2
  }
}