Pith Number

pith:Q4LVRMMJ

pith:2011:Q4LVRMMJ2WC53J5JE5UAIXJU3A

not attested not anchored not stored refs pending

Friedmann-free limits on spatial curvature

James Rich

arxiv:1106.3469 v4 · 2011-06-17 · astro-ph.CO · 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{Q4LVRMMJ2WC53J5JE5UAIXJU3A}

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	2026-05-18T02:01:35.734155Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

871758b189d585dda7a92768045d34d811c2a0360c1e348eca47250ffe905424

Aliases

arxiv: 1106.3469 · arxiv_version: 1106.3469v4 · doi: 10.48550/arxiv.1106.3469 · pith_short_12: Q4LVRMMJ2WC5 · pith_short_16: Q4LVRMMJ2WC53J5J · pith_short_8: Q4LVRMMJ

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/Q4LVRMMJ2WC53J5JE5UAIXJU3A \
  | 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: 871758b189d585dda7a92768045d34d811c2a0360c1e348eca47250ffe905424

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "db2b6aa2382b2dca1d9162182aafc6f7849dc36ea33bb882ce629ea58cbc0d1d",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2011-06-17T13:00:21Z",
    "title_canon_sha256": "a8a1da6e3bac37f09611c8b534c0108ae6195d7a1d292bc88c50fb7afd9858db"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.3469",
    "kind": "arxiv",
    "version": 4
  }
}