Pith Number

pith:O2I6D7ZO

pith:2014:O2I6D7ZOZF575ZA4FJP3YEEZAB

not attested not anchored not stored refs pending

Collisionless self-gravitating systems in f(R)-gravity within Palatini approach and relativistic Boltzmann equation in the Newtonian approach

Gilberto M. Kremer, Ra\'ila Andr\'e

arxiv:1411.6096 v1 · 2014-11-22 · 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{O2I6D7ZOZF575ZA4FJP3YEEZAB}

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	2026-05-18T01:20:56.141857Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7691e1ff2ec97bfee41c2a5fbc1099006d5a24729e08012666760334be60a216

Aliases

arxiv: 1411.6096 · arxiv_version: 1411.6096v1 · doi: 10.48550/arxiv.1411.6096 · pith_short_12: O2I6D7ZOZF57 · pith_short_16: O2I6D7ZOZF575ZA4 · pith_short_8: O2I6D7ZO

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/O2I6D7ZOZF575ZA4FJP3YEEZAB \
  | 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: 7691e1ff2ec97bfee41c2a5fbc1099006d5a24729e08012666760334be60a216

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "040170f74f923ef1e559c7e62f42f90667d04db675e2bee0eb339a0c9d685df4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2014-11-22T08:03:56Z",
    "title_canon_sha256": "8947aa77a85e7367b787d0184c6e2608ecac3c251a256601dc706d3c3b279b6e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.6096",
    "kind": "arxiv",
    "version": 1
  }
}