Pith Number

pith:TO2FQEF4

pith:2012:TO2FQEF4KUKAUGIV7ZUAYPVS4K

not attested not anchored not stored refs pending

Cosmological Perturbation in f(T) Gravity Revisited

Keisuke Izumi, Yen Chin Ong

arxiv:1212.5774 v2 · 2012-12-23 · gr-qc · astro-ph.CO · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TO2FQEF4KUKAUGIV7ZUAYPVS4K}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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

Gauge-invariant cosmological perturbations in Type 3 New General Relativity and background-hierarchy bounds

Gauge invariant perturbations of $F(T,T_G)$ Cosmology

Receipt and verification

First computed	2026-05-18T03:20:20.497191Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9bb45810bc55140a1915fe680c3eb2e2b58d281ac72b63774e3010e209032ad0

Aliases

arxiv: 1212.5774 · arxiv_version: 1212.5774v2 · doi: 10.48550/arxiv.1212.5774 · pith_short_12: TO2FQEF4KUKA · pith_short_16: TO2FQEF4KUKAUGIV · pith_short_8: TO2FQEF4

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/TO2FQEF4KUKAUGIV7ZUAYPVS4K \
  | 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: 9bb45810bc55140a1915fe680c3eb2e2b58d281ac72b63774e3010e209032ad0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b1f8ca744db9bf8ed15055b41472db0666c44fdc2c1f560f3e945da804cb7843",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2012-12-23T08:59:39Z",
    "title_canon_sha256": "cabfc7ae95c4b86a6ec34378b1f3759aed4dbb3bd7a39f444c9bd01c05dfd38a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.5774",
    "kind": "arxiv",
    "version": 2
  }
}