Pith Number

pith:QU6XR3UH

pith:2012:QU6XR3UH7D72JNKN7PKWIXHNX6

not attested not anchored not stored refs pending

Unifying static analysis of gravitational structures with a scale-dependent scalar field gravity as an alternative to dark matter

David F. Mota, Nicola R. Napolitano, Salvatore Capozziello, Vincenzo Salzano

arxiv:1211.1019 v2 · 2012-11-05 · 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{QU6XR3UH7D72JNKN7PKWIXHNX6}

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	2026-05-18T03:01:24.503212Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

853d78ee87f8ffa4b54dfbd5645cedbfaed96777c10286153441f7ba96ff0d97

Aliases

arxiv: 1211.1019 · arxiv_version: 1211.1019v2 · doi: 10.48550/arxiv.1211.1019 · pith_short_12: QU6XR3UH7D72 · pith_short_16: QU6XR3UH7D72JNKN · pith_short_8: QU6XR3UH

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/QU6XR3UH7D72JNKN7PKWIXHNX6 \
  | 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: 853d78ee87f8ffa4b54dfbd5645cedbfaed96777c10286153441f7ba96ff0d97

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e195adbadacde98ddc60175fcdaf5673aecbba139468754d4ea6bf4572f9850d",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2012-11-05T21:00:03Z",
    "title_canon_sha256": "b88489dbdc0a373b6944aeef27a5aa1062b011698082b1e467044a32a4a7f671"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.1019",
    "kind": "arxiv",
    "version": 2
  }
}