Pith Number

pith:PPI2HWZF

pith:2021:PPI2HWZF4TOSY7VKZ4Q52MJQD3

not attested not anchored not stored refs pending

Gravitational cracking and complexity in the framework of gravitational decoupling

E. Contreras, E. Fuenmayor

arxiv:2107.01140 v1 · 2021-07-02 · 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{PPI2HWZF4TOSY7VKZ4Q52MJQD3}

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.

Cited by

1 paper in Pith

Light Deflection due to Spinoptic Effects in Parametrized and Spherically Symmetric Hairy Black Holes

Receipt and verification

First computed	2026-07-05T02:57:25.445882Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7bd1a3db25e4dd2c7eaacf21dd31301ec117a7c7162a769e0917acc35cfee5c8

Aliases

arxiv: 2107.01140 · arxiv_version: 2107.01140v1 · doi: 10.48550/arxiv.2107.01140 · pith_short_12: PPI2HWZF4TOS · pith_short_16: PPI2HWZF4TOSY7VK · pith_short_8: PPI2HWZF

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/PPI2HWZF4TOSY7VKZ4Q52MJQD3 \
  | 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: 7bd1a3db25e4dd2c7eaacf21dd31301ec117a7c7162a769e0917acc35cfee5c8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "02f84f4476e26f1cfe06d03a66486852571cc0e402dc1d2dac350349e2fc82de",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2021-07-02T15:36:21Z",
    "title_canon_sha256": "e52d80dc129283818bf9c6a6733b1e1ef5b46add379d50369659f3a6f49b6350"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2107.01140",
    "kind": "arxiv",
    "version": 1
  }
}