Pith Number

pith:TLR5ITJ7

pith:2010:TLR5ITJ7ZFEHQSKNPIXQVQQE2V

not attested not anchored not stored refs pending

Stability of the Einstein static universe in modified theories of gravity

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

arxiv:1001.1266 v1 · 2010-01-08 · 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{TLR5ITJ7ZFEHQSKNPIXQVQQE2V}

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	2026-05-18T00:59:28.565601Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9ae3d44d3fc94878494d7a2f0ac204d54e1d5c2f129a277bbd150a1a6651799d

Aliases

arxiv: 1001.1266 · arxiv_version: 1001.1266v1 · doi: 10.48550/arxiv.1001.1266 · pith_short_12: TLR5ITJ7ZFEH · pith_short_16: TLR5ITJ7ZFEHQSKN · pith_short_8: TLR5ITJ7

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/TLR5ITJ7ZFEHQSKNPIXQVQQE2V \
  | 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: 9ae3d44d3fc94878494d7a2f0ac204d54e1d5c2f129a277bbd150a1a6651799d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b8ad8fdc8082334fc9fc23e3eaecafb60db94d361652a90b2b6c2501278f7c29",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2010-01-08T13:11:48Z",
    "title_canon_sha256": "67470f18f242d208acaa4a5d62eb35447bd18c2b5358711d12be362755147caa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1001.1266",
    "kind": "arxiv",
    "version": 1
  }
}