Pith Number

pith:IK4FFSFX

pith:2012:IK4FFSFXPBEYDJIVKVALSRAP3H

not attested not anchored not stored refs pending

Anti-lensing: the bright side of voids

Chris Clarkson, David Bacon, Emma Beynon, Krzysztof Bolejko, Nikolai Meures, Roy Maartens

arxiv:1209.3142 v3 · 2012-09-14 · 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{IK4FFSFXPBEYDJIVKVALSRAP3H}

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	2026-05-18T03:36:15.883664Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

42b852c8b7784981a5155540b9440fd9cb1f2a8f6067e909add1cc91a5fe097f

Aliases

arxiv: 1209.3142 · arxiv_version: 1209.3142v3 · doi: 10.48550/arxiv.1209.3142 · pith_short_12: IK4FFSFXPBEY · pith_short_16: IK4FFSFXPBEYDJIV · pith_short_8: IK4FFSFX

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/IK4FFSFXPBEYDJIVKVALSRAP3H \
  | 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: 42b852c8b7784981a5155540b9440fd9cb1f2a8f6067e909add1cc91a5fe097f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2c6b68091374bc7e07980700a38b9fd4e0dadb7012a7c9d50c57c1485dd011b6",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2012-09-14T09:52:34Z",
    "title_canon_sha256": "5b5b1f126a64334c123033e64d6c7a4bc1e0b8053bbcda1e7d8a65b3e21328c6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.3142",
    "kind": "arxiv",
    "version": 3
  }
}