Pith Number

pith:IPOVSCWH

pith:2011:IPOVSCWHGB6JH26O33EVHG3P2G

not attested not anchored not stored refs pending

Path Integral and Effective Hamiltonian in Loop Quantum Cosmology

Haiyun Huang, Li Qin, Yongge Ma

arxiv:1102.4755 v4 · 2011-02-23 · 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{IPOVSCWHGB6JH26O33EVHG3P2G}

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	2026-05-18T04:19:21.784432Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

43dd590ac7307c93ebcedec9539b6fd196f6d583fd9e3670f18bae59d83227d0

Aliases

arxiv: 1102.4755 · arxiv_version: 1102.4755v4 · doi: 10.48550/arxiv.1102.4755 · pith_short_12: IPOVSCWHGB6J · pith_short_16: IPOVSCWHGB6JH26O · pith_short_8: IPOVSCWH

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/IPOVSCWHGB6JH26O33EVHG3P2G \
  | 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: 43dd590ac7307c93ebcedec9539b6fd196f6d583fd9e3670f18bae59d83227d0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0bacbfd4bc852996fab129e6abd98d2ef62225772544bd7888faeb37b95be79b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2011-02-23T14:53:46Z",
    "title_canon_sha256": "c46e6429f7a0f604bc2e6873310c560caafb20744684c44e088936bd5457a9e9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.4755",
    "kind": "arxiv",
    "version": 4
  }
}