Pith Number

pith:SSKTMJQ5

pith:2002:SSKTMJQ5BTZODSTQD3TKZ5XJ2U

not attested not anchored not stored refs pending

How loud can Schwarzschild black holes ring?

Edward Malec, Janusz Karkowski, Zdobyslaw Swierczynski

arxiv:gr-qc/0205040 v1 · 2002-05-10 · 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{SSKTMJQ5BTZODSTQD3TKZ5XJ2U}

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	2026-07-04T14:25:34.384780Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

949536261d0cf2e1ca701ee6acf6e9d53102e5080c1da8f50fb242aa6d3fda13

Aliases

arxiv: gr-qc/0205040 · arxiv_version: gr-qc/0205040v1 · doi: 10.48550/arxiv.gr-qc/0205040 · pith_short_12: SSKTMJQ5BTZO · pith_short_16: SSKTMJQ5BTZODSTQ · pith_short_8: SSKTMJQ5

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/SSKTMJQ5BTZODSTQD3TKZ5XJ2U \
  | 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: 949536261d0cf2e1ca701ee6acf6e9d53102e5080c1da8f50fb242aa6d3fda13

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a9b00751c91c33296446cd9693d716087d18ed340f0e268e65ae6d0cc97501ef",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2002-05-10T11:38:31Z",
    "title_canon_sha256": "692ee4fd8a2ae0126322ce832b2877ef42c6150cdf0a3ad129f3bd48ea103152"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0205040",
    "kind": "arxiv",
    "version": 1
  }
}