Pith Number

pith:PK3EGS4P

pith:2019:PK3EGS4PDYMABSKJM4L6S36EVZ

not attested not anchored not stored refs pending

Improved ($\bar{\mu}$-Scheme) Effective Dynamics of Full Loop Quantum Gravity

Hongguang Liu, Muxin Han

arxiv:1912.08668 v2 · 2019-12-18 · gr-qc · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PK3EGS4PDYMABSKJM4L6S36EVZ}

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.

Cited by

1 paper in Pith

The one-loop effective action from the coherent state path integral of loop quantum gravity

Receipt and verification

First computed	2026-07-05T01:38:56.733678Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7ab6434b8f1e1800c9496717e96fc4ae634cf94039a5e79eec39bba801cb8c6c

Aliases

arxiv: 1912.08668 · arxiv_version: 1912.08668v2 · doi: 10.48550/arxiv.1912.08668 · pith_short_12: PK3EGS4PDYMA · pith_short_16: PK3EGS4PDYMABSKJ · pith_short_8: PK3EGS4P

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/PK3EGS4PDYMABSKJM4L6S36EVZ \
  | 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: 7ab6434b8f1e1800c9496717e96fc4ae634cf94039a5e79eec39bba801cb8c6c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6a0acf332347d95486eaf8f9f6030f4958f27f146d6f23cf0a337e2165f979d7",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2019-12-18T15:36:13Z",
    "title_canon_sha256": "69a388898f6f7c9932793c31df6fb005c699c446b87c91f26787cc8cdde9ae60"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1912.08668",
    "kind": "arxiv",
    "version": 2
  }
}