Pith Number

pith:CA2WK5N2

pith:2016:CA2WK5N2XPDIY4E3DNBTZIMSJR

not attested not anchored not stored refs pending

The Status of Cosmic Topology after Planck Data

Jean-Pierre Luminet

arxiv:1601.03884 v2 · 2016-01-15 · 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{CA2WK5N2XPDIY4E3DNBTZIMSJR}

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.

Cited by

1 paper in Pith

Gravitational waves and cosmic boundary

Receipt and verification

First computed	2026-07-05T11:54:36.770732Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

10356575babbc68c709b1b433ca1924c4792027b45084cafcc69bcb49eae811f

Aliases

arxiv: 1601.03884 · arxiv_version: 1601.03884v2 · doi: 10.48550/arxiv.1601.03884 · pith_short_12: CA2WK5N2XPDI · pith_short_16: CA2WK5N2XPDIY4E3 · pith_short_8: CA2WK5N2

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/CA2WK5N2XPDIY4E3DNBTZIMSJR \
  | 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: 10356575babbc68c709b1b433ca1924c4792027b45084cafcc69bcb49eae811f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "09149fa579a701306f9a050439a927fc0ad5195dbf92ea7c2804cfba6ed47599",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2016-01-15T11:58:41Z",
    "title_canon_sha256": "864866dd05953bd39bd075fe3c7d8d14f026a827478ce267a7f6ff34689bc4d4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.03884",
    "kind": "arxiv",
    "version": 2
  }
}