Pith Number

pith:2OYJGPHT

pith:2026:2OYJGPHTPYYUHDI2W7M37W74PT

not attested not anchored not stored refs pending

Shape of U: Measuring the Curvature of the Universe with Gravitational Waves

Anuradha Gupta, Arindam Sharma, Ish Gupta

arxiv:2606.04216 v1 · 2026-06-02 · gr-qc · astro-ph.CO · astro-ph.HE

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2OYJGPHTPYYUHDI2W7M37W74PT}

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	2026-06-04T01:08:58.950868Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d3b0933cf37e31438d1ab7d9bfdbfc7cd20dfe35fe5f64265dba6bd91c96c2bf

Aliases

arxiv: 2606.04216 · arxiv_version: 2606.04216v1 · doi: 10.48550/arxiv.2606.04216 · pith_short_12: 2OYJGPHTPYYU · pith_short_16: 2OYJGPHTPYYUHDI2 · pith_short_8: 2OYJGPHT

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/2OYJGPHTPYYUHDI2W7M37W74PT \
  | 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: d3b0933cf37e31438d1ab7d9bfdbfc7cd20dfe35fe5f64265dba6bd91c96c2bf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "154be2fe070b0b6709ca312164feda773c1af33b947469e3c9b1cee8d5b891a5",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "astro-ph.HE"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2026-06-02T21:05:20Z",
    "title_canon_sha256": "95cd599ab059e5323adc55482061bbd247ff5ec490d659e63ef66ff79b738797"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.04216",
    "kind": "arxiv",
    "version": 1
  }
}