Pith Number

pith:4R7TXRYQ

pith:2010:4R7TXRYQDWXWNYZALPT5XYB6R5

not attested not anchored not stored refs pending

The Schwarzschild geometry and the black holes

M.Cattani

arxiv:1010.0241 v1 · 2010-10-01 · 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{4R7TXRYQDWXWNYZALPT5XYB6R5}

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	2026-05-18T04:39:59.997006Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e47f3bc7101daf66e3205be7dbe03e8f525357b40a025587bb6e80aac3441eff

Aliases

arxiv: 1010.0241 · arxiv_version: 1010.0241v1 · doi: 10.48550/arxiv.1010.0241 · pith_short_12: 4R7TXRYQDWXW · pith_short_16: 4R7TXRYQDWXWNYZA · pith_short_8: 4R7TXRYQ

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/4R7TXRYQDWXWNYZALPT5XYB6R5 \
  | 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: e47f3bc7101daf66e3205be7dbe03e8f525357b40a025587bb6e80aac3441eff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d1c88fd9165a286fcb8078dc0cb43b0a6b7cafd391aea3d9880f5378379e7c28",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2010-10-01T19:23:31Z",
    "title_canon_sha256": "e7a87a07c3a70f534c9b80a72628a6d473462778de6c749056ccaf368ca30de2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.0241",
    "kind": "arxiv",
    "version": 1
  }
}