Pith Number

pith:X7KMXLPI

pith:2011:X7KMXLPIE5CFZDAURUMSHIFBPJ

not attested not anchored not stored refs pending

Weak-field limit of f(R)-gravity in three and more spatial dimensions

Alexander Zhuk, Maxim Eingorn

arxiv:1104.1456 v2 · 2011-04-07 · gr-qc · astro-ph.HE · 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{X7KMXLPIE5CFZDAURUMSHIFBPJ}

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	2026-05-18T04:16:11.819658Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bfd4cbade827445c8c148d1923a0a17a510ec31c1316914957286ac1eb0f2f66

Aliases

arxiv: 1104.1456 · arxiv_version: 1104.1456v2 · doi: 10.48550/arxiv.1104.1456 · pith_short_12: X7KMXLPIE5CF · pith_short_16: X7KMXLPIE5CFZDAU · pith_short_8: X7KMXLPI

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/X7KMXLPIE5CFZDAURUMSHIFBPJ \
  | 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: bfd4cbade827445c8c148d1923a0a17a510ec31c1316914957286ac1eb0f2f66

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "591d99fe2a1b5ef1ddc40a5dd13799bf4a77d43487b5b4f616d16ecd273f257f",
    "cross_cats_sorted": [
      "astro-ph.HE",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2011-04-07T22:54:07Z",
    "title_canon_sha256": "9645fc8406ce45c58669357f4cd67c9b4c60ca963151cbde30631cd2342c261d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.1456",
    "kind": "arxiv",
    "version": 2
  }
}