Pith Number

pith:G445EWVP

pith:2020:G445EWVPY5NB6BDCETB3FW46GE

not attested not anchored not stored refs pending

Weyl-Invariant Gravity and the Nature of Dark Matter

Meir Shimon

arxiv:2012.04472 v2 · 2020-12-06 · gr-qc · astro-ph.CO · astro-ph.GA · hep-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{G445EWVPY5NB6BDCETB3FW46GE}

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	2026-07-05T04:11:04.649447Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3739d25aafc75a1f046224c3b2db9e3111f39296658ab037f344dd657303ff1e

Aliases

arxiv: 2012.04472 · arxiv_version: 2012.04472v2 · doi: 10.48550/arxiv.2012.04472 · pith_short_12: G445EWVPY5NB · pith_short_16: G445EWVPY5NB6BDC · pith_short_8: G445EWVP

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/G445EWVPY5NB6BDCETB3FW46GE \
  | 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: 3739d25aafc75a1f046224c3b2db9e3111f39296658ab037f344dd657303ff1e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3fdf84398684ec11ba4594739d4c9e465b2d4deab5b92515edaf472cdeca6e7e",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "astro-ph.GA",
      "hep-ph"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2020-12-06T11:55:50Z",
    "title_canon_sha256": "046e8d21241793e6876f93df8bfe5e7a2b5fb557b7d74ccc22f27e32c44f5386"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2012.04472",
    "kind": "arxiv",
    "version": 2
  }
}