Pith Number

pith:XTYTRN2X

pith:2021:XTYTRN2XWVGEBYXFQATXVBMM2D

not attested not anchored not stored refs pending

Linearized propagation equations for metric fluctuations in a general (non-vacuum) background geometry

E. Pavone, G. Fanizza, L. Tedesco, M. Gasperini

arxiv:2105.13041 v1 · 2021-05-27 · gr-qc · astro-ph.CO · 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{XTYTRN2XWVGEBYXFQATXVBMM2D}

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

Freeze-out and spectral running of primordial gravitational waves in viscous cosmology

Receipt and verification

First computed	2026-07-05T02:57:22.152965Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bcf138b757b54c40e2e580277a858cd0ed005a8e24d6cbb435cd35f5bd72d181

Aliases

arxiv: 2105.13041 · arxiv_version: 2105.13041v1 · doi: 10.48550/arxiv.2105.13041 · pith_short_12: XTYTRN2XWVGE · pith_short_16: XTYTRN2XWVGEBYXF · pith_short_8: XTYTRN2X

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/XTYTRN2XWVGEBYXFQATXVBMM2D \
  | 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: bcf138b757b54c40e2e580277a858cd0ed005a8e24d6cbb435cd35f5bd72d181

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "61a7adde965b19eb137363f14938e1cfba2fb1f6ede6a2f2fa776be1c7c9aec7",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "hep-th"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2021-05-27T10:19:39Z",
    "title_canon_sha256": "4ab39cfa92af2c267e856c314eafaddc717a0f0eef4d3dc830c5e77703d07382"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2105.13041",
    "kind": "arxiv",
    "version": 1
  }
}