Pith Number

pith:LJUNEUWF

pith:2012:LJUNEUWFAF4YZPWKQKZ6QH3KWI

not attested not anchored not stored refs pending

Reconstruction of f(R) models with Scale-invariant Power Spectrum

Taotao Qiu

arxiv:1208.4759 v2 · 2012-08-22 · astro-ph.CO · gr-qc · 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{LJUNEUWFAF4YZPWKQKZ6QH3KWI}

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.

Receipt and verification

First computed	2026-05-18T01:54:59.036199Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5a68d252c501798cbeca82b3e81f6ab22b9499e313c74ac73a5d439fbdbfec23

Aliases

arxiv: 1208.4759 · arxiv_version: 1208.4759v2 · doi: 10.48550/arxiv.1208.4759 · pith_short_12: LJUNEUWFAF4Y · pith_short_16: LJUNEUWFAF4YZPWK · pith_short_8: LJUNEUWF

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/LJUNEUWFAF4YZPWKQKZ6QH3KWI \
  | 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: 5a68d252c501798cbeca82b3e81f6ab22b9499e313c74ac73a5d439fbdbfec23

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8180e6ea3b2f13ed90c13cf57e72cebd73d64a18311162e198a9f309eb5cd904",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2012-08-22T03:09:03Z",
    "title_canon_sha256": "dbde5c22508ccefdccd5a993b89ff955ccea33a853c3972c87340b2a8fd86200"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.4759",
    "kind": "arxiv",
    "version": 2
  }
}