Pith Number

pith:H445Y5U3

pith:2011:H445Y5U3FEFP4PZIRD64F66JWG

not attested not anchored not stored refs pending

Voids as Alternatives to Dark Energy and the Propagation of Gamma Rays through the Universe

Arnaud de Lavallaz, Malcolm Fairbairn

arxiv:1111.4577 v1 · 2011-11-19 · astro-ph.CO · astro-ph.HE

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{H445Y5U3FEFP4PZIRD64F66JWG}

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	2026-05-18T03:23:01.265040Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3f39dc769b290afe3f2888fdc2fbc9b1ad000bd1793f811d3394bec3af5bc8df

Aliases

arxiv: 1111.4577 · arxiv_version: 1111.4577v1 · doi: 10.48550/arxiv.1111.4577 · pith_short_12: H445Y5U3FEFP · pith_short_16: H445Y5U3FEFP4PZI · pith_short_8: H445Y5U3

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/H445Y5U3FEFP4PZIRD64F66JWG \
  | 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: 3f39dc769b290afe3f2888fdc2fbc9b1ad000bd1793f811d3394bec3af5bc8df

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "db9f6aab17a2edec6bda4843fdc1c16ec1d154438c5a562d57b44fdebed76044",
    "cross_cats_sorted": [
      "astro-ph.HE"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2011-11-19T19:25:44Z",
    "title_canon_sha256": "708cb5b36c29b994e093775827b3249b3197114c3c16d3603d473e3a70b2c582"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.4577",
    "kind": "arxiv",
    "version": 1
  }
}