Pith Number

pith:EV3JUDUK

pith:2001:EV3JUDUKSZ5VGPRONPVMMYQUN3

not attested not anchored not stored refs pending

Causality in Inflationary Universes with Positive Spatial Curvature

G. F. R. Ellis, P. Dunsby, P. McEwan, W. Stoeger

arxiv:gr-qc/0109024 v2 · 2001-09-06 · 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{EV3JUDUKSZ5VGPRONPVMMYQUN3}

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	2026-05-18T01:39:24.049834Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

25769a0e8a967b533e2e6beac662146efda51dd654b94d86d549f1319bd293b7

Aliases

arxiv: gr-qc/0109024 · arxiv_version: gr-qc/0109024v2 · doi: 10.48550/arxiv.gr-qc/0109024 · pith_short_12: EV3JUDUKSZ5V · pith_short_16: EV3JUDUKSZ5VGPRO · pith_short_8: EV3JUDUK

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/EV3JUDUKSZ5VGPRONPVMMYQUN3 \
  | 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: 25769a0e8a967b533e2e6beac662146efda51dd654b94d86d549f1319bd293b7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ea04eb85ffe30fa6e76ead8b959f75980c7cddf53c1bfe76cb994e72cec3d535",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2001-09-06T15:22:26Z",
    "title_canon_sha256": "1672ee107a53f10ba95f640bb3ef7a538a8f5089c76ec9cf3b9101a0b6af2565"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0109024",
    "kind": "arxiv",
    "version": 2
  }
}