Pith Number

pith:VYUAI2IQ

pith:2026:VYUAI2IQGGTXOQVGFMW56E6WN7

not attested not anchored not stored refs pending

Gravitational Waves from Primordial Black Holes formed by Null Energy Condition Violation during Inflation

Dong-Hui Yu, Jia-Zuo Zhang, Yong Cai

arxiv:2602.16292 v2 · 2026-02-18 · 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{VYUAI2IQGGTXOQVGFMW56E6WN7}

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

Does Eternal Inflation Violate the Smeared Null Energy Condition?

Receipt and verification

First computed	2026-07-03T01:17:17.691772Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ae2804691031a77742a62b2ddf13d66fd64114d416edc93290dc42ac810ca913

Aliases

arxiv: 2602.16292 · arxiv_version: 2602.16292v2 · doi: 10.48550/arxiv.2602.16292 · pith_short_12: VYUAI2IQGGTX · pith_short_16: VYUAI2IQGGTXOQVG · pith_short_8: VYUAI2IQ

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/VYUAI2IQGGTXOQVGFMW56E6WN7 \
  | 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: ae2804691031a77742a62b2ddf13d66fd64114d416edc93290dc42ac810ca913

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "451e3669ce59eaa92a2df399fd05c0455a39755d19d860beca04375b507ce69d",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "hep-ph",
      "hep-th"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2026-02-18T09:20:24Z",
    "title_canon_sha256": "1cde6979f30d6d1b41a2134c6bc371378d05a3c6996e2ac7a71fa0fcc8acd625"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2602.16292",
    "kind": "arxiv",
    "version": 2
  }
}