Pith Number

pith:3QRHQLZF

pith:2019:3QRHQLZFWEXO7UW4DIKXHWYQVG

not attested not anchored not stored refs pending

Covariant constructive gravity: A step-by-step guide towards alternative theories of gravity

Nils Alex, Tobias Reinhart

arxiv:1909.03842 v3 · 2019-09-09 · 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{3QRHQLZFWEXO7UW4DIKXHWYQVG}

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.

Cited by

1 paper in Pith

Renormalization group flows in area-metric gravity

Receipt and verification

First computed	2026-07-05T01:36:48.909511Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dc22782f25b12eefd2dc1a1573db10a99d39e88096f700ef8eda759a70b06045

Aliases

arxiv: 1909.03842 · arxiv_version: 1909.03842v3 · doi: 10.48550/arxiv.1909.03842 · pith_short_12: 3QRHQLZFWEXO · pith_short_16: 3QRHQLZFWEXO7UW4 · pith_short_8: 3QRHQLZF

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/3QRHQLZFWEXO7UW4DIKXHWYQVG \
  | 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: dc22782f25b12eefd2dc1a1573db10a99d39e88096f700ef8eda759a70b06045

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "60fce43beb529707031b7b99608a2aa407825a45e1f4f5372b5cbb4b4faf4735",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2019-09-09T13:20:03Z",
    "title_canon_sha256": "065b5c3ee28c9661fbdfcda4882983d7f497d5359056a8e21d679611f9d7b0fb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1909.03842",
    "kind": "arxiv",
    "version": 3
  }
}