Pith Number

pith:PCHZRLI7

pith:2015:PCHZRLI7WTQT63LWFWETRKPG2I

not attested not anchored not stored refs pending

Covariance in models of loop quantum gravity: Spherical symmetry

Juan D. Reyes, Martin Bojowald, Suddhasattwa Brahma

arxiv:1507.00329 v1 · 2015-07-01 · 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{PCHZRLI7WTQT63LWFWETRKPG2I}

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	2026-05-18T01:33:42.675006Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

788f98ad1fb4e13f6d762d8938a9e6d204e0a16449bc6e858957b628cdb13a43

Aliases

arxiv: 1507.00329 · arxiv_version: 1507.00329v1 · doi: 10.48550/arxiv.1507.00329 · pith_short_12: PCHZRLI7WTQT · pith_short_16: PCHZRLI7WTQT63LW · pith_short_8: PCHZRLI7

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/PCHZRLI7WTQT63LWFWETRKPG2I \
  | 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: 788f98ad1fb4e13f6d762d8938a9e6d204e0a16449bc6e858957b628cdb13a43

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "be62b36c8b87136b766974e59de43d1f94f72fee1ab9942e217e3275f9529a43",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2015-07-01T19:49:56Z",
    "title_canon_sha256": "fa3f16658c86aa3e98df89a2666869904c0819d74dc726fec176b96a432a308c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.00329",
    "kind": "arxiv",
    "version": 1
  }
}