Pith Number

pith:77MMYIGA

pith:2010:77MMYIGAL32AKBX5IGDVP7DKSB

not attested not anchored not stored refs pending

Lorentz covariance of loop quantum gravity

Carlo Rovelli, Simone Speziale

arxiv:1012.1739 v3 · 2010-12-08 · 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{77MMYIGAL32AKBX5IGDVP7DKSB}

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	2026-05-18T04:21:22.444610Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ffd8cc20c05ef40506fd418757fc6a9068cbf598c847126407c92d89fd8f5222

Aliases

arxiv: 1012.1739 · arxiv_version: 1012.1739v3 · doi: 10.48550/arxiv.1012.1739 · pith_short_12: 77MMYIGAL32A · pith_short_16: 77MMYIGAL32AKBX5 · pith_short_8: 77MMYIGA

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/77MMYIGAL32AKBX5IGDVP7DKSB \
  | 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: ffd8cc20c05ef40506fd418757fc6a9068cbf598c847126407c92d89fd8f5222

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3e02a301b85e4b13fc06bf0280a83ba6da46dc476960f16f78c2421014718f18",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2010-12-08T11:20:20Z",
    "title_canon_sha256": "f17dd0a4703d9c86ea3cc8d6e810a4057384ebeef3dbe13dda6744b3156744a4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.1739",
    "kind": "arxiv",
    "version": 3
  }
}