Pith Number

pith:TNVKTWGP

pith:2006:TNVKTWGPYDY7MUKWIDEKHLO2UJ

not attested not anchored not stored refs pending

Dynamics of Linear Perturbations in f(R) Gravity

Alessandra Silvestri, David Bernat, Levon Pogosian, Mark Trodden, Rachel Bean

arxiv:astro-ph/0611321 v2 · 2006-11-10 · astro-ph · gr-qc

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TNVKTWGPYDY7MUKWIDEKHLO2UJ}

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

ACT Data and Positive Running of the Spectral Index for Scalar Theory and Modified Gravity

Modified Gravity and Cosmology

Receipt and verification

First computed	2026-07-04T17:25:18.075522Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9b6aa9d8cfc0f1f6515640c8a3addaa26218fc079e08772d452c48023e53f042

Aliases

arxiv: astro-ph/0611321 · arxiv_version: astro-ph/0611321v2 · doi: 10.48550/arxiv.astro-ph/0611321 · pith_short_12: TNVKTWGPYDY7 · pith_short_16: TNVKTWGPYDY7MUKW · pith_short_8: TNVKTWGP

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/TNVKTWGPYDY7MUKWIDEKHLO2UJ \
  | 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: 9b6aa9d8cfc0f1f6515640c8a3addaa26218fc079e08772d452c48023e53f042

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aa3d584e03d7984becc0d081125be8b30b434ee01b7c0ca856e577db13c2dabd",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "2006-11-10T04:26:19Z",
    "title_canon_sha256": "c8088a1838ee59282fcf647c3cf135f57abdcc278b00ae2a6f27f1798c37d12d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/0611321",
    "kind": "arxiv",
    "version": 2
  }
}