Pith Number

pith:5E3YRGP6

pith:1998:5E3YRGP64L5FF3ED662YR6BNTZ

not attested not anchored not stored refs pending

On the Rigidity Theorem for Spacetimes with a Stationary Event Horizon or a Compact Cauchy Horizon

Helmut Friedrich, Istvan Racz, Robert M. Wald

arxiv:gr-qc/9811021 v1 · 1998-11-06 · 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{5E3YRGP64L5FF3ED662YR6BNTZ}

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	2026-07-04T16:08:52.770772Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e9378899fee2fa52ec83f7b588f82d9e7a53f156deed6a97514dcddbc99fe954

Aliases

arxiv: gr-qc/9811021 · arxiv_version: gr-qc/9811021v1 · doi: 10.48550/arxiv.gr-qc/9811021 · pith_short_12: 5E3YRGP64L5F · pith_short_16: 5E3YRGP64L5FF3ED · pith_short_8: 5E3YRGP6

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/5E3YRGP64L5FF3ED662YR6BNTZ \
  | 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: e9378899fee2fa52ec83f7b588f82d9e7a53f156deed6a97514dcddbc99fe954

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ae548604b2e7d2c4826a777bae36c086449a05a61346fdf0ba7a508726586833",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "1998-11-06T12:26:30Z",
    "title_canon_sha256": "a0d50e2d8425ac4359deb816139d57eca1ed59b2114924d4cc8febeab3b584f5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/9811021",
    "kind": "arxiv",
    "version": 1
  }
}