Pith Number

pith:HP4WDH2C

pith:2018:HP4WDH2CBZIBERNJQF77JNJ7G3

not attested not anchored not stored refs pending

Blue-tilted Primordial Gravitational Waves from Massive Gravity

Sachiko Kuroyanagi, Shinji Mukohyama, Shuntaro Mizuno, Tomohiro Fujita

arxiv:1808.02381 v2 · 2018-08-06 · gr-qc · astro-ph.CO · hep-ph · 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{HP4WDH2CBZIBERNJQF77JNJ7G3}

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	2026-05-17T23:58:04.234578Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3bf9619f420e501245a9817ff4b53f36f7cbe45b6ed243dbd53239af2be753d5

Aliases

arxiv: 1808.02381 · arxiv_version: 1808.02381v2 · doi: 10.48550/arxiv.1808.02381 · pith_short_12: HP4WDH2CBZIB · pith_short_16: HP4WDH2CBZIBERNJ · pith_short_8: HP4WDH2C

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/HP4WDH2CBZIBERNJQF77JNJ7G3 \
  | 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: 3bf9619f420e501245a9817ff4b53f36f7cbe45b6ed243dbd53239af2be753d5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "20051fb5f01ebb0879dd4557fe4e93835c23da0d6d53668de76ddd69020d4d48",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "hep-ph",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2018-08-06T04:24:53Z",
    "title_canon_sha256": "2fdbb7317db239130053d5cfa96ac40a615bdfcc7868b58eed40d621674c073e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.02381",
    "kind": "arxiv",
    "version": 2
  }
}