Pith Number

pith:5HPO4R6Q

pith:2011:5HPO4R6QEOTZLAUBDRQZD5CSSB

not attested not anchored not stored refs pending

Nonperturbative Loop Quantization of Scalar-Tensor Theories of Gravity

Xiangdong Zhang, Yongge Ma

arxiv:1107.5157 v2 · 2011-07-26 · gr-qc · hep-th · math-ph · math.MP · quant-ph

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5HPO4R6QEOTZLAUBDRQZD5CSSB}

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	2026-05-18T02:01:09.867407Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e9deee47d023a79582811c6191f45290500f2d5f6051e1cdfe6af46a0eee67cc

Aliases

arxiv: 1107.5157 · arxiv_version: 1107.5157v2 · doi: 10.48550/arxiv.1107.5157 · pith_short_12: 5HPO4R6QEOTZ · pith_short_16: 5HPO4R6QEOTZLAUB · pith_short_8: 5HPO4R6Q

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/5HPO4R6QEOTZLAUBDRQZD5CSSB \
  | 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: e9deee47d023a79582811c6191f45290500f2d5f6051e1cdfe6af46a0eee67cc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e8db0c71c22507aa719b00e1d0f5b5104961b066b3d7438d32e3448a6e8ab9f7",
    "cross_cats_sorted": [
      "hep-th",
      "math-ph",
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2011-07-26T10:20:11Z",
    "title_canon_sha256": "6e607caa2f04063af07b1533f2087609e24aee779963eadbcd1249e15a211598"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.5157",
    "kind": "arxiv",
    "version": 2
  }
}