Pith Number

pith:QOP5D3ZE

pith:2011:QOP5D3ZEPDLGYCSDKGJGELEM73

not attested not anchored not stored refs pending

An Historical View: The Discovery of Voids in the Galaxy Distribution

Laird A. Thompson, Stephen A. Gregory

arxiv:1109.1268 v1 · 2011-09-06 · physics.hist-ph · 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{QOP5D3ZEPDLGYCSDKGJGELEM73}

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.

Cited by

1 paper in Pith

Constraining decaying dark matter models with gravitational lensing and cosmic voids

Receipt and verification

First computed	2026-05-18T04:14:05.038453Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

839fd1ef2478d66c0a435192622c8cfec47331f57e4f345e4d29c7556e6d936d

Aliases

arxiv: 1109.1268 · arxiv_version: 1109.1268v1 · doi: 10.48550/arxiv.1109.1268 · pith_short_12: QOP5D3ZEPDLG · pith_short_16: QOP5D3ZEPDLGYCSD · pith_short_8: QOP5D3ZE

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/QOP5D3ZEPDLGYCSDKGJGELEM73 \
  | 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: 839fd1ef2478d66c0a435192622c8cfec47331f57e4f345e4d29c7556e6d936d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2b6e3c51cc8a3ea4a350b459be6a0301196c871d3627548aa6a57d6bfc048258",
    "cross_cats_sorted": [
      "astro-ph.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.hist-ph",
    "submitted_at": "2011-09-06T19:02:37Z",
    "title_canon_sha256": "043811bb79f552cdfdad35e1ca417f431655ec861d026bf3fb5ed9f1595c9f7a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.1268",
    "kind": "arxiv",
    "version": 1
  }
}