Pith Number

pith:TXTF467Z

pith:2007:TXTF467ZKUHREVYTXB5JMNBON3

not attested not anchored not stored refs pending

Stability of the Einstein static universe in f(R) gravity

Christian G. Boehmer, Francisco S. N. Lobo, Lukas Hollenstein

arxiv:0706.1663 v2 · 2007-06-12 · gr-qc · astro-ph · 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{TXTF467ZKUHREVYTXB5JMNBON3}

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	2026-05-18T03:53:03.620652Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9de65e7bf9550f125713b87a96342e6ecf0047f5c8e37623ec7d05256a5a3569

Aliases

arxiv: 0706.1663 · arxiv_version: 0706.1663v2 · doi: 10.48550/arxiv.0706.1663 · pith_short_12: TXTF467ZKUHR · pith_short_16: TXTF467ZKUHREVYT · pith_short_8: TXTF467Z

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/TXTF467ZKUHREVYTXB5JMNBON3 \
  | 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: 9de65e7bf9550f125713b87a96342e6ecf0047f5c8e37623ec7d05256a5a3569

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0dceaa976b12040663183c48f260f2db987274a9590dc0927b1f15428ef84b74",
    "cross_cats_sorted": [
      "astro-ph",
      "hep-th"
    ],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2007-06-12T11:30:49Z",
    "title_canon_sha256": "b99fad2c7987d371e841312648074c511cf888f0342135329d1de338fc5d85bd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0706.1663",
    "kind": "arxiv",
    "version": 2
  }
}