Pith Number

pith:V4SR5NNR

pith:2006:V4SR5NNRNU5LWRGOWHQ2YGHO7E

not attested not anchored not stored refs pending

Why should primordial perturbations be in a vacuum state?

C. Armendariz-Picon

arxiv:astro-ph/0612288 v1 · 2006-12-11 · astro-ph · gr-qc · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{V4SR5NNRNU5LWRGOWHQ2YGHO7E}

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	2026-05-18T04:38:37.114623Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

af251eb5b16d3abb44ceb1e1ac18eef9371e90c1b39481d14c2582e7f703ff80

Aliases

arxiv: astro-ph/0612288 · arxiv_version: astro-ph/0612288v1 · doi: 10.48550/arxiv.astro-ph/0612288 · pith_short_12: V4SR5NNRNU5L · pith_short_16: V4SR5NNRNU5LWRGO · pith_short_8: V4SR5NNR

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/V4SR5NNRNU5LWRGOWHQ2YGHO7E \
  | 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: af251eb5b16d3abb44ceb1e1ac18eef9371e90c1b39481d14c2582e7f703ff80

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dbcb3081ca1a507998911bc5cbc0f73c35d346fefbdf44f19dc8b1fe7cbcc3b9",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-th"
    ],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "2006-12-11T20:49:37Z",
    "title_canon_sha256": "ba4db06a682fde7c654a6d9daee5c63843fcefb26f32445421cb431f35d3cdde"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/0612288",
    "kind": "arxiv",
    "version": 1
  }
}