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Pith Number

pith:6E3FJV76

pith:2006:6E3FJV76Y2EORK6B4PKNW4ZSMB
not attested not anchored not stored refs pending

Phase Transitions in Higher Derivative Gravity

Subir Mukhopadhyay, Sudipta Mukherji, Swarnendu Sarkar, Tanay K. Dey

arxiv:hep-th/0609038 v3 · 2006-09-05 · hep-th

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{6E3FJV76Y2EORK6B4PKNW4ZSMB}

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 2026-05-18T04:38:26.544187Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

f13654d7fec688e8abc1e3d4db733260416fc1dee6a2cf420b542e6194245408

Aliases

arxiv: hep-th/0609038 · arxiv_version: hep-th/0609038v3 · doi: 10.48550/arxiv.hep-th/0609038 · pith_short_12: 6E3FJV76Y2EO · pith_short_16: 6E3FJV76Y2EORK6B · pith_short_8: 6E3FJV76
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/6E3FJV76Y2EORK6B4PKNW4ZSMB \
  | 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: f13654d7fec688e8abc1e3d4db733260416fc1dee6a2cf420b542e6194245408
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "2bf1f723cbddee10cf4eb9322f0c7941bc774b3a1858fc3c3bd0e3004781e657",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2006-09-05T14:07:34Z",
    "title_canon_sha256": "8a440701ac224a12907e8c007f79dd0724ed4382583c5ab12926d051768a92f7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0609038",
    "kind": "arxiv",
    "version": 3
  }
}