Pith Number

pith:EEULUCQL

pith:2009:EEULUCQL57WAGE7Y3JVJRSUJPT

not attested not anchored not stored refs pending

The dynamics of apparent horizons in Robinson-Trautman spacetimes

E. L. Rodrigues, H. P. de Oliveira, I. Dami\~ao Soares

arxiv:0912.4067 v1 · 2009-12-21 · 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{EEULUCQL57WAGE7Y3JVJRSUJPT}

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	2026-05-18T02:10:15.166524Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2128ba0a0befec0313f8da6a98ca897cfa463f5dc0ce5709bfadc24162287304

Aliases

arxiv: 0912.4067 · arxiv_version: 0912.4067v1 · doi: 10.48550/arxiv.0912.4067 · pith_short_12: EEULUCQL57WA · pith_short_16: EEULUCQL57WAGE7Y · pith_short_8: EEULUCQL

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/EEULUCQL57WAGE7Y3JVJRSUJPT \
  | 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: 2128ba0a0befec0313f8da6a98ca897cfa463f5dc0ce5709bfadc24162287304

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7661e198af15ed09891fd8aed82db1414dd5c1898e2b3a91a391782c3dd13122",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2009-12-21T02:00:16Z",
    "title_canon_sha256": "9cf217e7037c7c6158242400db1173176f19ed6cc94096a570dace58a3af1d57"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0912.4067",
    "kind": "arxiv",
    "version": 1
  }
}