Pith Number

pith:SF4JEZFO

pith:2012:SF4JEZFO6N3UAOUCDD3VOBLUKW

not attested not anchored not stored refs pending

Luminosity distance in Swiss cheese cosmology with randomized voids and galaxy halos

\'Eanna \'E. Flanagan, Ira Wasserman, Naresh Kumar

arxiv:1207.3711 v1 · 2012-07-16 · 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{SF4JEZFO6N3UAOUCDD3VOBLUKW}

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	2026-05-18T01:56:18.007862Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

91789264aef377403a8218f757057455935057b9e47c1d6522a4117947df9367

Aliases

arxiv: 1207.3711 · arxiv_version: 1207.3711v1 · doi: 10.48550/arxiv.1207.3711 · pith_short_12: SF4JEZFO6N3U · pith_short_16: SF4JEZFO6N3UAOUC · pith_short_8: SF4JEZFO

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/SF4JEZFO6N3UAOUCDD3VOBLUKW \
  | 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: 91789264aef377403a8218f757057455935057b9e47c1d6522a4117947df9367

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6e43f3aa74dd51803d52c6a28157cf18bc1128bb0d7d13976c616126f46915d0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2012-07-16T15:45:19Z",
    "title_canon_sha256": "31317fd9fff53708f701b92b3146707cdf6c4177c897533d1953d50ed2e0d62d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.3711",
    "kind": "arxiv",
    "version": 1
  }
}