Pith Number

pith:VL2BOBYT

pith:2013:VL2BOBYTYNVR6FZKGYF5M77O2L

not attested not anchored not stored refs pending

Renormalization Group approach to Gravity: the running of G and L inside galaxies and additional details on the elliptical NGC 4494

Davi C. Rodrigues, Ilya L. Shapiro, J\'ulio C. Fabris, Oliver F. Piattella

arxiv:1301.4148 v2 · 2013-01-17 · astro-ph.CO · 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{VL2BOBYTYNVR6FZKGYF5M77O2L}

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	2026-05-18T03:36:05.894832Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aaf4170713c36b1f172a360bd67feed2c9d58c217535e5b9bc154da1b37cdd7c

Aliases

arxiv: 1301.4148 · arxiv_version: 1301.4148v2 · doi: 10.48550/arxiv.1301.4148 · pith_short_12: VL2BOBYTYNVR · pith_short_16: VL2BOBYTYNVR6FZK · pith_short_8: VL2BOBYT

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/VL2BOBYTYNVR6FZKGYF5M77O2L \
  | 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: aaf4170713c36b1f172a360bd67feed2c9d58c217535e5b9bc154da1b37cdd7c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c1ce399add47fa35d849e16d2c1ce29371d63199ceb063adb01d6cc1ca2aad9b",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2013-01-17T16:26:08Z",
    "title_canon_sha256": "b7fbc53f6c7c29268e3c0167728d0a133a69e69ec8902228328352f0407be48c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.4148",
    "kind": "arxiv",
    "version": 2
  }
}