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Pith Number

pith:GFUD4GXR

pith:2013:GFUD4GXRN75WK32ALUAO3E2HCA
not attested not anchored not stored refs pending

Review on exact and perturbative deformations of the Einstein-Straus model: uniqueness and rigidity results

Filipe C. Mena, Marc Mars, Ra\"ul Vera

arxiv:1307.4371 v1 · 2013-07-16 · gr-qc · astro-ph.CO

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{GFUD4GXRN75WK32ALUAO3E2HCA}

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 2026-05-18T01:48:49.501797Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

31683e1af16ffb656f405d00ed93471002f60344b7a7c8b2fcb6d9a79c9506fc

Aliases

arxiv: 1307.4371 · arxiv_version: 1307.4371v1 · doi: 10.48550/arxiv.1307.4371 · pith_short_12: GFUD4GXRN75W · pith_short_16: GFUD4GXRN75WK32A · pith_short_8: GFUD4GXR
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/GFUD4GXRN75WK32ALUAO3E2HCA \
  | 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: 31683e1af16ffb656f405d00ed93471002f60344b7a7c8b2fcb6d9a79c9506fc
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "24ec9616c5c23cc25d5152163ba8cc2704124fb26da4f8f3b4a282de024dbfe3",
    "cross_cats_sorted": [
      "astro-ph.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2013-07-16T18:43:06Z",
    "title_canon_sha256": "5600aa5bd6c83856e65ea829a20c5b7e099d34301ff57b04d945875efda2e2e1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.4371",
    "kind": "arxiv",
    "version": 1
  }
}