Pith Number

pith:UIM65UPL

pith:2015:UIM65UPLANEFUVOJUPWLGR2HOA

not attested not anchored not stored refs pending

The Schwarzschild metric and the Friedmann equations from Newtonian Gravitational collapse

Arka Prabha Banik, Christian Rohrhofer, Eduardo I. Guendelman, Gilad Granit, Tomer Ygael

arxiv:1503.08803 v2 · 2015-03-30 · 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{UIM65UPLANEFUVOJUPWLGR2HOA}

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	2026-05-18T02:00:02.039236Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a219eed1eb03485a55c9a3ecb3474770212adc70c26cee1e2e5a177c18f28b7c

Aliases

arxiv: 1503.08803 · arxiv_version: 1503.08803v2 · doi: 10.48550/arxiv.1503.08803 · pith_short_12: UIM65UPLANEF · pith_short_16: UIM65UPLANEFUVOJ · pith_short_8: UIM65UPL

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/UIM65UPLANEFUVOJUPWLGR2HOA \
  | 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: a219eed1eb03485a55c9a3ecb3474770212adc70c26cee1e2e5a177c18f28b7c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "722b8ac428b13d9eb324002fb104cb541605f1c95be1ae59e2cad70c36bae70d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2015-03-30T19:20:10Z",
    "title_canon_sha256": "01e2a4ac8be3c96cbde1061474a18b62761e1935c558fdd1919a26bc9f5d84bb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.08803",
    "kind": "arxiv",
    "version": 2
  }
}