Pith Number

pith:DXZFIUPJ

pith:2015:DXZFIUPJCQHQ5LBSWFMZXETF6Z

not attested not anchored not stored refs pending

Spherical Collapse in Modified Gravity Theories

Jorge L. Cervantes-Cota, Mario A. Gomez

arxiv:1506.07934 v1 · 2015-06-26 · astro-ph.CO · 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{DXZFIUPJCQHQ5LBSWFMZXETF6Z}

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	2026-05-18T01:37:48.564712Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1df25451e9140f0eac32b1599b9265f67c10d4c59bed6b73448f7e25bcc1e119

Aliases

arxiv: 1506.07934 · arxiv_version: 1506.07934v1 · doi: 10.48550/arxiv.1506.07934 · pith_short_12: DXZFIUPJCQHQ · pith_short_16: DXZFIUPJCQHQ5LBS · pith_short_8: DXZFIUPJ

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/DXZFIUPJCQHQ5LBSWFMZXETF6Z \
  | 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: 1df25451e9140f0eac32b1599b9265f67c10d4c59bed6b73448f7e25bcc1e119

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4e999825e23d927108b68e04640ed3fdcff20203fcdd6c2bee792cd273149ad0",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2015-06-26T01:31:34Z",
    "title_canon_sha256": "81047a66075bab278398a0d272e97196011bfe71b7ae0539cc1a4c1d63da021b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.07934",
    "kind": "arxiv",
    "version": 1
  }
}