Pith Number

pith:W6OM2HNC

pith:2011:W6OM2HNCNH5T2BHMSN6OJCZWSF

not attested not anchored not stored refs pending

What can the detection of a single pair of circles-in-the-sky tell us about the geometry and topology of the Universe ?

B. Mota, M. J. Reboucas, R. Tavakol

arxiv:1108.2842 v3 · 2011-08-14 · astro-ph.CO · gr-qc · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{W6OM2HNCNH5T2BHMSN6OJCZWSF}

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	2026-05-18T04:10:46.845567Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b79ccd1da269fb3d04ec937ce48b369173c0f8bef076a48e8203f7df0a536034

Aliases

arxiv: 1108.2842 · arxiv_version: 1108.2842v3 · doi: 10.48550/arxiv.1108.2842 · pith_short_12: W6OM2HNCNH5T · pith_short_16: W6OM2HNCNH5T2BHM · pith_short_8: W6OM2HNC

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/W6OM2HNCNH5T2BHMSN6OJCZWSF \
  | 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: b79ccd1da269fb3d04ec937ce48b369173c0f8bef076a48e8203f7df0a536034

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7ad9be6ee3f260dee1ad13de89ba7cdf678dd6bb38e7445a7f2c693d3fa396ee",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2011-08-14T04:55:57Z",
    "title_canon_sha256": "5b966d7acba65ec9bd8da13e1d778427b1b9eb1e043dd1653c0f0b82bd6919a7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.2842",
    "kind": "arxiv",
    "version": 3
  }
}