Pith Number

pith:IKFXKFTL

pith:2011:IKFXKFTLYWKUSM6VJKFPGDLWOO

not attested not anchored not stored refs pending

An Infinite Number of Closed FLRW Universes for Any Value of the Spatial Curvature

Helio V. Fagundes

arxiv:1111.0850 v4 · 2011-11-03 · 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{IKFXKFTLYWKUSM6VJKFPGDLWOO}

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	2026-05-18T01:59:47.745357Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

428b75166bc5954933d54a8af30d76738ba2c7feb8db78f47af0a8e2ab8a98b4

Aliases

arxiv: 1111.0850 · arxiv_version: 1111.0850v4 · doi: 10.48550/arxiv.1111.0850 · pith_short_12: IKFXKFTLYWKU · pith_short_16: IKFXKFTLYWKUSM6V · pith_short_8: IKFXKFTL

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/IKFXKFTLYWKUSM6VJKFPGDLWOO \
  | 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: 428b75166bc5954933d54a8af30d76738ba2c7feb8db78f47af0a8e2ab8a98b4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a00e5e4f15f7bff8ca9dca0604d979b0b87d3d19599d7a335f274a95264c4a38",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2011-11-03T14:34:03Z",
    "title_canon_sha256": "a4e898871a480aed4949d1b584b9beaa4e4b901d884d467def58530eaf019bc8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.0850",
    "kind": "arxiv",
    "version": 4
  }
}