Pith Number

pith:GXOSL3X4

pith:2010:GXOSL3X433QIKHMFWN33YVVYTA

not attested not anchored not stored refs pending

Spherical Collapse in Chameleon Models

D.A. Steer, Ph. Brax, R. Rosenfeld

arxiv:1005.2051 v2 · 2010-05-12 · astro-ph.CO · 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{GXOSL3X433QIKHMFWN33YVVYTA}

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

Modified Gravity and Cosmology

Receipt and verification

First computed	2026-05-18T02:24:08.039546Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

35dd25eefcdee0851d85b377bc56b898321196e77cd7f1be2eeeb8939acecde0

Aliases

arxiv: 1005.2051 · arxiv_version: 1005.2051v2 · doi: 10.48550/arxiv.1005.2051 · pith_short_12: GXOSL3X433QI · pith_short_16: GXOSL3X433QIKHMF · pith_short_8: GXOSL3X4

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/GXOSL3X433QIKHMFWN33YVVYTA \
  | 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: 35dd25eefcdee0851d85b377bc56b898321196e77cd7f1be2eeeb8939acecde0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2b8be57a8309143204d8f6bf73f32196e80c7f9b26f82b472251aa0e9412ff14",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2010-05-12T11:24:20Z",
    "title_canon_sha256": "2a876eb48df36aeda13da285f24913802608976f5802e2f4351ce9cda96b431a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1005.2051",
    "kind": "arxiv",
    "version": 2
  }
}