Pith Number

pith:56QBSABP

pith:2017:56QBSABPX6UZNCKM3N72LYIZWI

not attested not anchored not stored refs pending

Cosmological Effective Hamiltonian from full Loop Quantum Gravity Dynamics

Andrea Dapor, Klaus Liegener

arxiv:1706.09833 v3 · 2017-06-29 · gr-qc · hep-lat · 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{56QBSABPX6UZNCKM3N72LYIZWI}

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	2026-05-18T00:05:46.291383Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

efa019002fbfa996894cdb7fa5e119b2066c3c6c0366853a922a1c7b865661fe

Aliases

arxiv: 1706.09833 · arxiv_version: 1706.09833v3 · doi: 10.48550/arxiv.1706.09833 · pith_short_12: 56QBSABPX6UZ · pith_short_16: 56QBSABPX6UZNCKM · pith_short_8: 56QBSABP

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/56QBSABPX6UZNCKM3N72LYIZWI \
  | 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: efa019002fbfa996894cdb7fa5e119b2066c3c6c0366853a922a1c7b865661fe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3d08f488c396dfe962ee6bf768fa322a80472d8545c94ac5b40a08253c5a0a9c",
    "cross_cats_sorted": [
      "hep-lat",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2017-06-29T16:23:42Z",
    "title_canon_sha256": "4bb1150d6eee186539fa7ddf679f2e1c8a6cabb13aee4dfd30d3cb915bee4c3a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.09833",
    "kind": "arxiv",
    "version": 3
  }
}