Pith Number

pith:X2D3I6TD

pith:2003:X2D3I6TDLYA2M2PYOBZ6MPNP3K

not attested not anchored not stored refs pending

Relic gravitational waves from colliding bubbles and cosmic turbulence

Alberto Nicolis

arxiv:gr-qc/0303084 v1 · 2003-03-21 · gr-qc · astro-ph · hep-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{X2D3I6TDLYA2M2PYOBZ6MPNP3K}

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.

Cited by

1 paper in Pith

Observable CMB B-modes from Cosmological Phase Transitions

Receipt and verification

First computed	2026-07-04T16:40:10.841342Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

be87b47a635e01a669f87073e63dafda9f09585bebdbf958cbfd52108131ad7f

Aliases

arxiv: gr-qc/0303084 · arxiv_version: gr-qc/0303084v1 · doi: 10.48550/arxiv.gr-qc/0303084 · pith_short_12: X2D3I6TDLYA2 · pith_short_16: X2D3I6TDLYA2M2PY · pith_short_8: X2D3I6TD

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/X2D3I6TDLYA2M2PYOBZ6MPNP3K \
  | 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: be87b47a635e01a669f87073e63dafda9f09585bebdbf958cbfd52108131ad7f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3d01c00b5f9ce575a39479f69d8d0d87fdc1f6f460cc8775d6b1e61e57cb4112",
    "cross_cats_sorted": [
      "astro-ph",
      "hep-ph"
    ],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2003-03-21T15:35:47Z",
    "title_canon_sha256": "467c0019814d6c153cd2be1eba66ccefcbf7d72da821f8117aea921f2a4ae2ff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0303084",
    "kind": "arxiv",
    "version": 1
  }
}