Pith Number

pith:Y23LPJG6

pith:2020:Y23LPJG6JD6CUNRZWUMRM2RNAB

not attested not anchored not stored refs pending

Spherical collapse in DGP braneworld cosmology

Ankan Mukherjee

arxiv:2008.08979 v1 · 2020-08-19 · astro-ph.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Y23LPJG6JD6CUNRZWUMRM2RNAB}

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

Cosmological dynamics and structure formation in a generalized mass-to-horizon entropy-inspired modified gravity

Receipt and verification

First computed	2026-07-05T01:28:38.248545Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c6b6b7a4de48fc2a3639b519166a2d00431d7a781bb51c2e5d7f0dae925d71c3

Aliases

arxiv: 2008.08979 · arxiv_version: 2008.08979v1 · doi: 10.48550/arxiv.2008.08979 · pith_short_12: Y23LPJG6JD6C · pith_short_16: Y23LPJG6JD6CUNRZ · pith_short_8: Y23LPJG6

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/Y23LPJG6JD6CUNRZWUMRM2RNAB \
  | 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: c6b6b7a4de48fc2a3639b519166a2d00431d7a781bb51c2e5d7f0dae925d71c3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8e14a6bb0c42cf7dbef3f58d2c37c6d5f48fa1f9befcdb5543edecce2e21ff5a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2020-08-19T17:35:34Z",
    "title_canon_sha256": "ebb64a6143c61d3b79a950e57a51ebe294cf28e5674ce3b609c6d1e2b20ad3fc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2008.08979",
    "kind": "arxiv",
    "version": 1
  }
}