Pith Number

pith:LUPX7QV7

pith:2010:LUPX7QV7ZMMKBGTUMPCIQ4SPYS

not attested not anchored not stored refs pending

A Note on the Inverse Problem with LTB Universes

Chul-Moon Yoo

arxiv:1010.0530 v2 · 2010-10-04 · 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{LUPX7QV7ZMMKBGTUMPCIQ4SPYS}

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	2026-05-18T02:23:47.411768Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5d1f7fc2bfcb18a09a7463c488724fc49e43096a754e9595882d6fb2f8cfed4e

Aliases

arxiv: 1010.0530 · arxiv_version: 1010.0530v2 · doi: 10.48550/arxiv.1010.0530 · pith_short_12: LUPX7QV7ZMMK · pith_short_16: LUPX7QV7ZMMKBGTU · pith_short_8: LUPX7QV7

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/LUPX7QV7ZMMKBGTUMPCIQ4SPYS \
  | 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: 5d1f7fc2bfcb18a09a7463c488724fc49e43096a754e9595882d6fb2f8cfed4e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9db7ba9dcbd575ea6cf011b6d0567cf802e023ba881c8eaf2900b1bda04a7b70",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2010-10-04T10:19:21Z",
    "title_canon_sha256": "abd2e6a949a955daf78beec5013261fe44773d1bfdbabb85c771c98beab4bdef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.0530",
    "kind": "arxiv",
    "version": 2
  }
}