Pith Number

pith:NPQS5UKC

pith:2011:NPQS5UKCJUDGHKMP4565N2KP2J

not attested not anchored not stored refs pending

Luminosity distance in Swiss cheese cosmology with randomized voids. II. Magnification probability distributions

\'Eanna \'E. Flanagan, Ira Wasserman, Naresh Kumar, R. Ali Vanderveld

arxiv:1109.1873 v2 · 2011-09-09 · gr-qc · astro-ph.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NPQS5UKCJUDGHKMP4565N2KP2J}

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	2026-05-18T02:00:37.517639Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6be12ed1424d0663a98fe77dd6e94fd25f041054bf658e47303cc8f5617fd61f

Aliases

arxiv: 1109.1873 · arxiv_version: 1109.1873v2 · doi: 10.48550/arxiv.1109.1873 · pith_short_12: NPQS5UKCJUDG · pith_short_16: NPQS5UKCJUDGHKMP · pith_short_8: NPQS5UKC

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/NPQS5UKCJUDGHKMP4565N2KP2J \
  | 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: 6be12ed1424d0663a98fe77dd6e94fd25f041054bf658e47303cc8f5617fd61f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8b86652e78f29a9f1c7e670004bde849d72dee2a120c576df893d6218131af7a",
    "cross_cats_sorted": [
      "astro-ph.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2011-09-09T02:05:24Z",
    "title_canon_sha256": "f7d10ff84d6ce92e2a13393ec5c3705bcfb15a5952acd08fb1bbdcf8ca71c96e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.1873",
    "kind": "arxiv",
    "version": 2
  }
}