Pith Number

pith:VED2NZ5L

pith:2021:VED2NZ5LK6EWA3XKFRYUI7ZSVR

not attested not anchored not stored refs pending

Inflation and Primordial Fluctuations in $F(T)$ Gravity's Rainbow

Carlos Leiva, Giovanni Otalora, Joel Saavedra, Yoelsy Leyva

arxiv:2111.07098 v2 · 2021-11-13 · 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{VED2NZ5LK6EWA3XKFRYUI7ZSVR}

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	2026-07-05T03:57:42.051123Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a907a6e7ab5789606eea2c71447f32ac41d3563309c03795947cdd242977dce0

Aliases

arxiv: 2111.07098 · arxiv_version: 2111.07098v2 · doi: 10.48550/arxiv.2111.07098 · pith_short_12: VED2NZ5LK6EW · pith_short_16: VED2NZ5LK6EWA3XK · pith_short_8: VED2NZ5L

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/VED2NZ5LK6EWA3XKFRYUI7ZSVR \
  | 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: a907a6e7ab5789606eea2c71447f32ac41d3563309c03795947cdd242977dce0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "72b4e1fa6b5e89e0354f6bc05c3fb54d3880bbf733be2502d9dff5c207e5e934",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2021-11-13T11:35:41Z",
    "title_canon_sha256": "3a2b405db17a6ba12d4047c4dd9e8e1c16aed5ca3361eacf9f9dc8747ef62166"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2111.07098",
    "kind": "arxiv",
    "version": 2
  }
}