Pith Number

pith:JAUSLEEB

pith:2013:JAUSLEEBZJXUCJKWRCN2XVSYDN

not attested not anchored not stored refs pending

Inflationary Super-Hubble Waves and the Size of the Universe

Luis Gustavo T. Silva, Thiago S. Pereira

arxiv:1304.1181 v2 · 2013-04-03 · 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{JAUSLEEBZJXUCJKWRCN2XVSYDN}

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	2026-05-18T03:12:46.261535Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4829259081ca6f412556889babd6581b79aa1172400da87a44e44528a6799a47

Aliases

arxiv: 1304.1181 · arxiv_version: 1304.1181v2 · doi: 10.48550/arxiv.1304.1181 · pith_short_12: JAUSLEEBZJXU · pith_short_16: JAUSLEEBZJXUCJKW · pith_short_8: JAUSLEEB

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/JAUSLEEBZJXUCJKWRCN2XVSYDN \
  | 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: 4829259081ca6f412556889babd6581b79aa1172400da87a44e44528a6799a47

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0254f1a4ebf035d9ae7d6e401eaad91bc051bcbbbe987383d97d208714d148de",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2013-04-03T20:34:13Z",
    "title_canon_sha256": "e38ad092d495e9f2ae33ed8dca5adcd4450658b5e0b36879380e0882847103bd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.1181",
    "kind": "arxiv",
    "version": 2
  }
}