Pith Number

pith:LRAGDRMZ

pith:2019:LRAGDRMZ5IXM6ADOFOIZHM5N2W

not attested not anchored not stored refs pending

Non-Perturbative 3D Quantum Gravity: Quantum Boundary States and Exact Partition Function

Aldo Riello, Christophe Goeller, Etera R. Livine

arxiv:1912.01968 v1 · 2019-12-04 · hep-th · 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{LRAGDRMZ5IXM6ADOFOIZHM5N2W}

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	2026-07-05T00:48:51.001654Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5c4061c599ea2ecf006e2b9193b3add5b4de1dead2c1bd1b9fe1ae01ea2f7493

Aliases

arxiv: 1912.01968 · arxiv_version: 1912.01968v1 · doi: 10.48550/arxiv.1912.01968 · pith_short_12: LRAGDRMZ5IXM · pith_short_16: LRAGDRMZ5IXM6ADO · pith_short_8: LRAGDRMZ

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/LRAGDRMZ5IXM6ADOFOIZHM5N2W \
  | 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: 5c4061c599ea2ecf006e2b9193b3add5b4de1dead2c1bd1b9fe1ae01ea2f7493

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "42e8b21a9c13ae90ee7ec58f1d77690dc873f2592c28cc881ba1a99bbde5cf37",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2019-12-04T13:42:05Z",
    "title_canon_sha256": "ad34c1d2c7d6e187663e301bd40eb963d9ae3be8ab6c01ec2ec8fb50238e67cc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1912.01968",
    "kind": "arxiv",
    "version": 1
  }
}