Pith Number

pith:WPXB3MYQ

pith:2011:WPXB3MYQD2LG4WVPMBTE6BZFZ2

not attested not anchored not stored refs pending

Large Adiabatic Scalar Perturbations in a Regular Bouncing Universe

Nelson Pinto-Neto, Sandro D. P. Vitenti

arxiv:1111.0888 v3 · 2011-11-03 · astro-ph.CO · 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{WPXB3MYQD2LG4WVPMBTE6BZFZ2}

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	2026-05-18T04:04:04.964296Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b3ee1db3101e966e5aaf60664f0725ce95544271896b0c6e9f565163aa1b3ecd

Aliases

arxiv: 1111.0888 · arxiv_version: 1111.0888v3 · doi: 10.48550/arxiv.1111.0888 · pith_short_12: WPXB3MYQD2LG · pith_short_16: WPXB3MYQD2LG4WVP · pith_short_8: WPXB3MYQ

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/WPXB3MYQD2LG4WVPMBTE6BZFZ2 \
  | 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: b3ee1db3101e966e5aaf60664f0725ce95544271896b0c6e9f565163aa1b3ecd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "221ec4350ff6277c24c7c3338fd0cadca5b909b6528b3b8ff6c15feb4b7ff284",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2011-11-03T15:53:08Z",
    "title_canon_sha256": "0adb141f5dbf4bec9a1ad14631296798fe369188dcfdbb225cd1b45de6d00428"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.0888",
    "kind": "arxiv",
    "version": 3
  }
}