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Pith Number

pith:7IEVNXZN

pith:2006:7IEVNXZNC26H3X2X3KFTCUE4ZO
not attested not anchored not stored refs pending

Codimension-two critical behavior in vacuum gravitational collapse

Bernd G. Schmidt, Piotr Bizo\'n, Tadeusz Chmaj

arxiv:gr-qc/0608102 v2 · 2006-08-22 · gr-qc · hep-th

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{7IEVNXZNC26H3X2X3KFTCUE4ZO}

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 2026-05-18T03:07:02.596743Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

fa0956df2d16bc7ddf57da8b31509ccba5d15904244f2bc9d557e54cb82b6f20

Aliases

arxiv: gr-qc/0608102 · arxiv_version: gr-qc/0608102v2 · doi: 10.48550/arxiv.gr-qc/0608102 · pith_short_12: 7IEVNXZNC26H · pith_short_16: 7IEVNXZNC26H3X2X · pith_short_8: 7IEVNXZN
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/7IEVNXZNC26H3X2X3KFTCUE4ZO \
  | 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: fa0956df2d16bc7ddf57da8b31509ccba5d15904244f2bc9d557e54cb82b6f20
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "0720ec87323a3a4977eae8474ae2a277afee21a80765f9a092a9079b04cd0c49",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2006-08-22T07:48:12Z",
    "title_canon_sha256": "5a9a14017d6275cf732f892d1d7ad29a4f9ceb059c3d85b93612cb3a774d7eab"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0608102",
    "kind": "arxiv",
    "version": 2
  }
}