Pith Number

pith:TSPEUEE7

pith:2012:TSPEUEE7RFJ3P4B6UOAANYH33F

not attested not anchored not stored refs pending

The virial theorem and the dark matter problem in hybrid metric-Palatini gravity

Francisco S. N. Lobo, Gonzalo J. Olmo, Salvatore Capozziello, Tiberiu Harko, Tomi S. Koivisto

arxiv:1212.5817 v2 · 2012-12-23 · physics.gen-ph · 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{TSPEUEE7RFJ3P4B6UOAANYH33F}

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	2026-05-18T03:18:18.466357Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9c9e4a109f8953b7f03ea38006e0fbd9742375c76e18eedf9b6ab1b86140f5c9

Aliases

arxiv: 1212.5817 · arxiv_version: 1212.5817v2 · doi: 10.48550/arxiv.1212.5817 · pith_short_12: TSPEUEE7RFJ3 · pith_short_16: TSPEUEE7RFJ3P4B6 · pith_short_8: TSPEUEE7

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/TSPEUEE7RFJ3P4B6UOAANYH33F \
  | 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: 9c9e4a109f8953b7f03ea38006e0fbd9742375c76e18eedf9b6ab1b86140f5c9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d0f4a40e20f3cf07e31f406d83743fc25696e7a9ac930143e1c89a03c93f3b1a",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.gen-ph",
    "submitted_at": "2012-12-23T17:01:02Z",
    "title_canon_sha256": "929938014084e35f7f6d3bd21a2713465a6ba5857ae353763ef5ed8982fc0418"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.5817",
    "kind": "arxiv",
    "version": 2
  }
}