Pith Number

pith:C23FBAJS

pith:2018:C23FBAJSQA2EH526SSS6BHGTQD

not attested not anchored not stored refs pending

Geometry Transition in Covariant Loop Quantum Gravity

Marios Christodoulou

arxiv:1803.00332 v2 · 2018-03-01 · gr-qc · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{C23FBAJSQA2EH526SSS6BHGTQD}

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	2026-05-18T00:20:46.248931Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

16b6508132803443f75e94a5e09cd380f03382ae031694d8ecd99b3d55d148d7

Aliases

arxiv: 1803.00332 · arxiv_version: 1803.00332v2 · doi: 10.48550/arxiv.1803.00332 · pith_short_12: C23FBAJSQA2E · pith_short_16: C23FBAJSQA2EH526 · pith_short_8: C23FBAJS

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/C23FBAJSQA2EH526SSS6BHGTQD \
  | 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: 16b6508132803443f75e94a5e09cd380f03382ae031694d8ecd99b3d55d148d7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "97f5b8bd74f13cb6e222e50f252cb66b6dba624904c1969bc62f91d7b6c28930",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2018-03-01T12:14:14Z",
    "title_canon_sha256": "fa12a2adcf815afa23b7b59f8b5dc81e46d7f4598f63bc9a43f17dc1a2b420fb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.00332",
    "kind": "arxiv",
    "version": 2
  }
}