Pith Number

pith:XO4GYC6Z

pith:2015:XO4GYC6ZTVOABVWXQIVGRXZZGG

not attested not anchored not stored refs pending

Inflation and dark energy from $f(R)$ gravity

Marek Lewicki, Michal Artymowski, Zygmunt Lalak

arxiv:1510.04864 v1 · 2015-10-16 · hep-th · 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{XO4GYC6ZTVOABVWXQIVGRXZZGG}

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	2026-05-18T01:30:00.422712Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bbb86c0bd99d5c00d6d7822a68df3931b677be3250d2ea99b3a189253c01c522

Aliases

arxiv: 1510.04864 · arxiv_version: 1510.04864v1 · doi: 10.48550/arxiv.1510.04864 · pith_short_12: XO4GYC6ZTVOA · pith_short_16: XO4GYC6ZTVOABVWX · pith_short_8: XO4GYC6Z

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/XO4GYC6ZTVOABVWXQIVGRXZZGG \
  | 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: bbb86c0bd99d5c00d6d7822a68df3931b677be3250d2ea99b3a189253c01c522

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6ba8516ff1d2a7738288dafb37ec0198771223a9c475a95c9287f3febf224ebb",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2015-10-16T12:36:55Z",
    "title_canon_sha256": "3fca8eecaf931ad90ec2734eb37a2f589ecb25ce2a27f18e549c91df8ca9e760"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.04864",
    "kind": "arxiv",
    "version": 1
  }
}