Pith Number

pith:QF2J56TL

pith:2010:QF2J56TLXMKRWC2X4CW57RQDQQ

not attested not anchored not stored refs pending

Non-linear metric perturbation enhancement of primordial gravitational waves

D. Santos, J. Macias-Perez, M. Bastero-Gil

arxiv:1005.4054 v2 · 2010-05-21 · astro-ph.CO · gr-qc · 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{QF2J56TLXMKRWC2X4CW57RQDQQ}

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	2026-05-18T04:39:38.823250Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

81749efa6bbb151b0b57e0addfc603842f6af3d60a2f95db8d6e4a28035fb368

Aliases

arxiv: 1005.4054 · arxiv_version: 1005.4054v2 · doi: 10.48550/arxiv.1005.4054 · pith_short_12: QF2J56TLXMKR · pith_short_16: QF2J56TLXMKRWC2X · pith_short_8: QF2J56TL

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/QF2J56TLXMKRWC2X4CW57RQDQQ \
  | 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: 81749efa6bbb151b0b57e0addfc603842f6af3d60a2f95db8d6e4a28035fb368

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4815cb16b3dc13f805696d243d8fe73e57d2350e9b8caae6df8f5256237bcc16",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2010-05-21T19:40:50Z",
    "title_canon_sha256": "f4c8563a1fce7d1d2ae12fd82eee9bd315698b0e717a7917181ab2e1038a1f5c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1005.4054",
    "kind": "arxiv",
    "version": 2
  }
}