Pith Number

pith:VS2UGRZD

pith:2009:VS2UGRZDZQZURZX7O3CEBEX3UA

not attested not anchored not stored refs pending

Asymptotic behavior of dynamical variables and naked singularity formation in spherically symmetric gravitational collapse

Akira Tomimatsu, Eiji Mitsuda, Hayato Kawakami, Yasusada Nambu

arxiv:0903.4041 v2 · 2009-03-24 · 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{VS2UGRZDZQZURZX7O3CEBEX3UA}

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	2026-05-18T02:14:26.296868Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

acb5434723cc3348e6ff76c44092fba0323455a158c495b8687c3a3d89976cc3

Aliases

arxiv: 0903.4041 · arxiv_version: 0903.4041v2 · doi: 10.48550/arxiv.0903.4041 · pith_short_12: VS2UGRZDZQZU · pith_short_16: VS2UGRZDZQZURZX7 · pith_short_8: VS2UGRZD

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/VS2UGRZDZQZURZX7O3CEBEX3UA \
  | 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: acb5434723cc3348e6ff76c44092fba0323455a158c495b8687c3a3d89976cc3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cf340badd075b559a635d7f78c87912c06fc45a5fb552d7e3ca4d40f0fb3be25",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2009-03-24T09:27:11Z",
    "title_canon_sha256": "a83b79db182dbff0573767440b5ae79e81a2963b5c701ac8b8072dc700e52d52"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0903.4041",
    "kind": "arxiv",
    "version": 2
  }
}