Pith Number

pith:4JJIAOYQ

pith:1998:4JJIAOYQSUSDOFFFKVUVLY3FL3

not attested not anchored not stored refs pending

Causal propagation of geometrical fields in relativistic cosmology

George F R Ellis (University of Cape Town), Henk van Elst

arxiv:gr-qc/9810058 v1 · 1998-10-18 · gr-qc · astro-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4JJIAOYQSUSDOFFFKVUVLY3FL3}

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	2026-05-18T01:06:44.201465Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e252803b1095243714a5556955e3655ec856291a82532d901a6551141d998ad7

Aliases

arxiv: gr-qc/9810058 · arxiv_version: gr-qc/9810058v1 · doi: 10.48550/arxiv.gr-qc/9810058 · pith_short_12: 4JJIAOYQSUSD · pith_short_16: 4JJIAOYQSUSDOFFF · pith_short_8: 4JJIAOYQ

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/4JJIAOYQSUSDOFFFKVUVLY3FL3 \
  | 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: e252803b1095243714a5556955e3655ec856291a82532d901a6551141d998ad7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ec15b8b583c8c89666b52bc65d26d11e349f7df65ce5d46c9d16df2e4854b3d1",
    "cross_cats_sorted": [
      "astro-ph"
    ],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "1998-10-18T17:23:35Z",
    "title_canon_sha256": "919a405234dda873b959cd99984d53f2367a7680d6bcbfc17abb5e613b267c90"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/9810058",
    "kind": "arxiv",
    "version": 1
  }
}