Pith Number

pith:PWKCEZDW

pith:2010:PWKCEZDWMJSZE5YLLEZXECC7DC

not attested not anchored not stored refs pending

Gravitational collapse in Painlev\'e-Gullstrand coordinates

Akio Hosoya, Masaru Siino, Yuki Kanai

arxiv:1008.0470 v1 · 2010-08-03 · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PWKCEZDWMJSZE5YLLEZXECC7DC}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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

Dust collapse and bounce in spherically symmetric quantum-inspired gravity models

Receipt and verification

First computed	2026-05-18T04:15:16.832925Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7d94226476626592770b593372085f18a924b9865340d6bb3bc17d00cd4323d2

Aliases

arxiv: 1008.0470 · arxiv_version: 1008.0470v1 · doi: 10.48550/arxiv.1008.0470 · pith_short_12: PWKCEZDWMJSZ · pith_short_16: PWKCEZDWMJSZE5YL · pith_short_8: PWKCEZDW

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/PWKCEZDWMJSZE5YLLEZXECC7DC \
  | 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: 7d94226476626592770b593372085f18a924b9865340d6bb3bc17d00cd4323d2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "61e474a227b5a1fbb59fa41a2df65db62eb8eb2d1bff51cb59f31bb731a982e0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2010-08-03T07:05:59Z",
    "title_canon_sha256": "42220150c60d989f6cec687bf75a900262ac2f0c87a917bc82b0344cbd2b1ba4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.0470",
    "kind": "arxiv",
    "version": 1
  }
}