Pith Number

pith:VKBLT2EY

pith:2022:VKBLT2EYAG25LPEVGWQUZUNLVM

not attested not anchored not stored refs pending

Cosmological model-independent measurement of cosmic curvature using distance sum rule with the help of gravitational waves

Bo Wang, Jing-Fei Zhang, Jing-Lei Cui, Jing-Zhao Qi, Xin Zhang, Yan-Jin Wang

arxiv:2201.12553 v3 · 2022-01-29 · astro-ph.CO · gr-qc · hep-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VKBLT2EYAG25LPEVGWQUZUNLVM}

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	2026-07-05T05:01:37.328399Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aa82b9e89801b5d5bc9535a14cd1abab1847d86d267123afa12a82722c052711

Aliases

arxiv: 2201.12553 · arxiv_version: 2201.12553v3 · doi: 10.48550/arxiv.2201.12553 · pith_short_12: VKBLT2EYAG25 · pith_short_16: VKBLT2EYAG25LPEV · pith_short_8: VKBLT2EY

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/VKBLT2EYAG25LPEVGWQUZUNLVM \
  | 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: aa82b9e89801b5d5bc9535a14cd1abab1847d86d267123afa12a82722c052711

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d9ffd125a1411ad2cce805cf8a71da797a95b3ddfb0dd66dfa95e18efddf0ad9",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2022-01-29T10:42:04Z",
    "title_canon_sha256": "daf645f394acd8306f1db21770ee3657ae17b2c8489e0e9cd9768dae2795ee67"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2201.12553",
    "kind": "arxiv",
    "version": 3
  }
}