Pith Number

pith:FB6CTUWX

pith:2019:FB6CTUWX5HASBOE2IVW4D4UZEQ

not attested not anchored not stored refs pending

Effective energy density of relic gravitons

Massimo Giovannini

arxiv:1908.09679 v2 · 2019-08-26 · hep-th · 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{FB6CTUWX5HASBOE2IVW4D4UZEQ}

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

Effective Equation of State Oscillations at Matter-Radiation Equality and Primordial Gravitational Waves

Receipt and verification

First computed	2026-07-05T00:17:12.186033Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

287c29d2d7e9c120b89a456dc1f299242ee20d6313b026e0c9ed6effe945d017

Aliases

arxiv: 1908.09679 · arxiv_version: 1908.09679v2 · doi: 10.48550/arxiv.1908.09679 · pith_short_12: FB6CTUWX5HAS · pith_short_16: FB6CTUWX5HASBOE2 · pith_short_8: FB6CTUWX

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/FB6CTUWX5HASBOE2IVW4D4UZEQ \
  | 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: 287c29d2d7e9c120b89a456dc1f299242ee20d6313b026e0c9ed6effe945d017

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "79f01967293a80f99862738fc2d56aa34a8afa8ae261e591cb131bcd61b590b6",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "gr-qc",
      "hep-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2019-08-26T13:39:53Z",
    "title_canon_sha256": "9fdb578ea54425d5e701ec74d8a6abdf616fe85b41373f96a2a63ae4d3b17cc5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.09679",
    "kind": "arxiv",
    "version": 2
  }
}