Pith Number

pith:QUPFYIGI

pith:2021:QUPFYIGI2MFLFKGJEKN4LCFYPP

not attested not anchored not stored refs pending

A linear relation between galaxy-lensing cross-correlations to test the cosmological principle model-independently

Fa-Yin Wang, Hai Yu, Jiaxin Wang, Ji Yao, Pengjie Zhang

arxiv:2106.03298 v1 · 2021-06-07 · 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{QUPFYIGI2MFLFKGJEKN4LCFYPP}

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	2026-07-05T02:46:48.336775Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

851e5c20c8d30ab2a8c9229bc588b87bd9850c10047ebaab372a71c2db607fd4

Aliases

arxiv: 2106.03298 · arxiv_version: 2106.03298v1 · doi: 10.48550/arxiv.2106.03298 · pith_short_12: QUPFYIGI2MFL · pith_short_16: QUPFYIGI2MFLFKGJ · pith_short_8: QUPFYIGI

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/QUPFYIGI2MFLFKGJEKN4LCFYPP \
  | 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: 851e5c20c8d30ab2a8c9229bc588b87bd9850c10047ebaab372a71c2db607fd4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1293b07d523e1b397b33c2662040cc217aa6cf8566924fb844f222d337dd26f5",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2021-06-07T01:56:13Z",
    "title_canon_sha256": "10a0f627c12f0aaa30ddd42fe946c7e0bcf9e5c7b0c5e84d18db70a1d69126bf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2106.03298",
    "kind": "arxiv",
    "version": 1
  }
}