Pith Number

pith:W4JIYK76

pith:2011:W4JIYK76FGK5STGNPZBDCVWHHW

not attested not anchored not stored refs pending

Shear free solutions in General Relativity Theory

George F R Ellis

arxiv:1107.3669 v1 · 2011-07-19 · gr-qc · astro-ph.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{W4JIYK76FGK5STGNPZBDCVWHHW}

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	2026-05-18T02:01:15.000685Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b7128c2bfe2995d94ccd7e423156c73daf3fb37db4702d5972b6195aa015c254

Aliases

arxiv: 1107.3669 · arxiv_version: 1107.3669v1 · doi: 10.48550/arxiv.1107.3669 · pith_short_12: W4JIYK76FGK5 · pith_short_16: W4JIYK76FGK5STGN · pith_short_8: W4JIYK76

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/W4JIYK76FGK5STGNPZBDCVWHHW \
  | 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: b7128c2bfe2995d94ccd7e423156c73daf3fb37db4702d5972b6195aa015c254

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "63d417eb063de98912b1f004127272d3088ef1394d0d86589c6e4128c3abaea9",
    "cross_cats_sorted": [
      "astro-ph.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2011-07-19T10:04:05Z",
    "title_canon_sha256": "0b843fb2c5f3c18a89f36b96883af9ac63590fc531cedc3840639433614ac0d3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.3669",
    "kind": "arxiv",
    "version": 1
  }
}