Pith Number

pith:N7S5FFDZ

pith:2011:N7S5FFDZBB6Y5H4EPLWBW7ZY3M

not attested not anchored not stored refs pending

f(R) Gravity and its Cosmological Implications

Alexei A. Starobinsky, Hayato Motohashi, Jun'ichi Yokoyama

arxiv:1101.0716 v1 · 2011-01-04 · 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{N7S5FFDZBB6Y5H4EPLWBW7ZY3M}

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	2026-05-18T04:16:20.571874Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6fe5d29479087d8e9f847aec1b7f38db237b3d513fcf509d8f7a0ed430721b19

Aliases

arxiv: 1101.0716 · arxiv_version: 1101.0716v1 · doi: 10.48550/arxiv.1101.0716 · pith_short_12: N7S5FFDZBB6Y · pith_short_16: N7S5FFDZBB6Y5H4E · pith_short_8: N7S5FFDZ

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/N7S5FFDZBB6Y5H4EPLWBW7ZY3M \
  | 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: 6fe5d29479087d8e9f847aec1b7f38db237b3d513fcf509d8f7a0ed430721b19

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "622e14fd3a917bee9b1c2944816093ba47e956c514dbc7eef0c86ac444971a4e",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2011-01-04T12:48:48Z",
    "title_canon_sha256": "97a189d21d896bacc73384811d62f9c0be1357a2d206661b33ac2cb062d2c2fb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.0716",
    "kind": "arxiv",
    "version": 1
  }
}