Pith Number

pith:HFSHVPFG

pith:2002:HFSHVPFGC2MUS4BW36Q5DEY2K3

not attested not anchored not stored refs pending

The 2m <= r property of spherically symmetric static spacetimes

Jose M.M. Senovilla, Marc Mars, M.M. Martin-Prats

arxiv:gr-qc/0202003 v1 · 2002-02-01 · 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{HFSHVPFGC2MUS4BW36Q5DEY2K3}

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

Beyond Buchdahl's limit: bilayered stars and thin-shell configurations

Receipt and verification

First computed	2026-07-04T16:33:35.259946Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

39647abca61699497036dfa1d1931a56f41043fd6c32138b9c4692f8b1ff228f

Aliases

arxiv: gr-qc/0202003 · arxiv_version: gr-qc/0202003v1 · doi: 10.48550/arxiv.gr-qc/0202003 · pith_short_12: HFSHVPFGC2MU · pith_short_16: HFSHVPFGC2MUS4BW · pith_short_8: HFSHVPFG

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/HFSHVPFGC2MUS4BW36Q5DEY2K3 \
  | 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: 39647abca61699497036dfa1d1931a56f41043fd6c32138b9c4692f8b1ff228f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8494338144dc2bd0cf1e363d920e8484ded0f0e6b23ee89ebebf0ebda82ae2b3",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2002-02-01T17:42:42Z",
    "title_canon_sha256": "8dbee7c2a563ce678ab86f00555db3db599930baee5fdd9eb8a1fdc3c57337da"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0202003",
    "kind": "arxiv",
    "version": 1
  }
}