Pith Number

pith:7OBEUCFF

pith:2012:7OBEUCFF2HI6HETS55A7NDSPC5

not attested not anchored not stored refs pending

Path Integral of Bianchi I models in Loop Quantum Cosmology

Fei Huang, Jian-Yang Zhu, Xiao Liu

arxiv:1211.5180 v2 · 2012-11-22 · 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{7OBEUCFF2HI6HETS55A7NDSPC5}

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	2026-05-18T01:53:01.717058Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fb824a08a5d1d1e39272ef41f68e4f17451c0bfdb4b7368ba3096b0eb27b9429

Aliases

arxiv: 1211.5180 · arxiv_version: 1211.5180v2 · doi: 10.48550/arxiv.1211.5180 · pith_short_12: 7OBEUCFF2HI6 · pith_short_16: 7OBEUCFF2HI6HETS · pith_short_8: 7OBEUCFF

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/7OBEUCFF2HI6HETS55A7NDSPC5 \
  | 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: fb824a08a5d1d1e39272ef41f68e4f17451c0bfdb4b7368ba3096b0eb27b9429

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e78ae1476bc247c0a8bbdbb24f62ee51b9d14f4976c4479e77e3de102e85f02f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2012-11-22T01:21:24Z",
    "title_canon_sha256": "a4dacff03206067658a10437bde77fc39e91886b7f9bcfd83b91304574163084"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.5180",
    "kind": "arxiv",
    "version": 2
  }
}