Pith Number

pith:P5YONZ4E

pith:2015:P5YONZ4EDOYZT7V3XGT2ZIRBC4

not attested not anchored not stored refs pending

Vacuum and Gravitons of Relic Gravitational Waves, and Regularization of Spectrum and Energy-Momentum Tensor

Dong-Gang Wang, Jie-Wen Chen, Yang Zhang

arxiv:1512.03134 v2 · 2015-12-10 · 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{P5YONZ4EDOYZT7V3XGT2ZIRBC4}

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

2 papers in Pith

Primary gravitational waves at high frequencies II: Emergence of the exponential cut-off in the power spectrum

Primary gravitational waves at high frequencies I: Origin of suppression in the power spectrum

Receipt and verification

First computed	2026-05-18T01:07:58.384468Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7f70e6e7841bb199febbb9a7aca221171142f5dc12549b1fad9a9f9c83782cc6

Aliases

arxiv: 1512.03134 · arxiv_version: 1512.03134v2 · doi: 10.48550/arxiv.1512.03134 · pith_short_12: P5YONZ4EDOYZ · pith_short_16: P5YONZ4EDOYZT7V3 · pith_short_8: P5YONZ4E

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/P5YONZ4EDOYZT7V3XGT2ZIRBC4 \
  | 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: 7f70e6e7841bb199febbb9a7aca221171142f5dc12549b1fad9a9f9c83782cc6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d5160497bb49482868c64f58641941856e9383a5184d6e37950d0b2aa855c364",
    "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": "2015-12-10T03:53:44Z",
    "title_canon_sha256": "071c071f91cf83fb8d468c977250375939413a89f26960cb1efae00c43851ee8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.03134",
    "kind": "arxiv",
    "version": 2
  }
}