Pith Number

pith:WJP4KB22

pith:2008:WJP4KB22TZPB7OG75Y6JQFHBLC

not attested not anchored not stored refs pending

Sharp bounds on the critical stability radius for relativistic charged spheres

Hakan Andreasson

arxiv:0804.1882 v1 · 2008-04-11 · 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{WJP4KB22TZPB7OG75Y6JQFHBLC}

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

Buchdahl stars and bounds with cosmological constant

Receipt and verification

First computed	2026-05-18T02:15:53.720898Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b25fc5075a9e5e1fb8dfee3c9814e1589f840134af90954d01ba3b2fcefe030e

Aliases

arxiv: 0804.1882 · arxiv_version: 0804.1882v1 · doi: 10.48550/arxiv.0804.1882 · pith_short_12: WJP4KB22TZPB · pith_short_16: WJP4KB22TZPB7OG7 · pith_short_8: WJP4KB22

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/WJP4KB22TZPB7OG75Y6JQFHBLC \
  | 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: b25fc5075a9e5e1fb8dfee3c9814e1589f840134af90954d01ba3b2fcefe030e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6c4fe83f273a2aff212b74e7a22c2cc8219137cdd8efccb2ac763ab15c3c3391",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2008-04-11T11:58:45Z",
    "title_canon_sha256": "a7166768ca67de18b5895ec3d88ac18d7c0484014fb81fcf1a09d03b54dc4d25"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0804.1882",
    "kind": "arxiv",
    "version": 1
  }
}