Pith Number

pith:F2IATOIP

pith:2012:F2IATOIP4ZS7KFB42XLJD7WR53

not attested not anchored not stored refs pending

On the stability of the Einstein Static Universe in Massive Gravity

Gaetano Vilasi, Luca Parisi, Ninfa Radicella

arxiv:1207.3922 v2 · 2012-07-17 · gr-qc · astro-ph.CO · 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{F2IATOIP4ZS7KFB42XLJD7WR53}

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	2026-05-18T03:50:08.843674Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2e9009b90fe665f5143cd5d691fed1eee328b2ab0d4107d6cc5c9a0a0fd79b48

Aliases

arxiv: 1207.3922 · arxiv_version: 1207.3922v2 · doi: 10.48550/arxiv.1207.3922 · pith_short_12: F2IATOIP4ZS7 · pith_short_16: F2IATOIP4ZS7KFB4 · pith_short_8: F2IATOIP

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/F2IATOIP4ZS7KFB42XLJD7WR53 \
  | 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: 2e9009b90fe665f5143cd5d691fed1eee328b2ab0d4107d6cc5c9a0a0fd79b48

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8abc6b81a60f4717b8f3555f50203852fe60ae7507cde59a5c30e5ec04c23636",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2012-07-17T09:07:16Z",
    "title_canon_sha256": "854f93fe718530e5041513123d479fd66f2e7bddeb50919214c895b7820549db"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.3922",
    "kind": "arxiv",
    "version": 2
  }
}