Pith Number

pith:RXHLISKB

pith:2011:RXHLISKBXSTJNBWNKAAZKIMPIF

not attested not anchored not stored refs pending

Jeans analysis of self-gravitating systems in f(R)-gravity

I. De Martino, M. De Laurentis, M. Formisano, S. Capozziello, S.D. Odintsov

arxiv:1112.0761 v2 · 2011-12-04 · gr-qc · astro-ph.HE · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RXHLISKBXSTJNBWNKAAZKIMPIF}

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	2026-05-18T01:59:17.353644Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8dceb44941bca69686cd500195218f416eab04b29b33ba2092251939baa1589f

Aliases

arxiv: 1112.0761 · arxiv_version: 1112.0761v2 · doi: 10.48550/arxiv.1112.0761 · pith_short_12: RXHLISKBXSTJ · pith_short_16: RXHLISKBXSTJNBWN · pith_short_8: RXHLISKB

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/RXHLISKBXSTJNBWNKAAZKIMPIF \
  | 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: 8dceb44941bca69686cd500195218f416eab04b29b33ba2092251939baa1589f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3c4fad533d211856c16c481b2f9609c50fe4344bce4db0231c6e2c1aace85f34",
    "cross_cats_sorted": [
      "astro-ph.HE",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2011-12-04T15:42:59Z",
    "title_canon_sha256": "ba12bc576c5b6c2486119d2c334370e9170d520a0d3c3c81bb23abaf530a3a74"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.0761",
    "kind": "arxiv",
    "version": 2
  }
}