Pith Number

pith:MP52UFK7

pith:2006:MP52UFK76MA2AQFYZ5X6EX3IKH

not attested not anchored not stored refs pending

Low-lying gravitational modes in the scalar sector of the global AdS_4 black hole

Georgios Michalogiorgakis, Silviu S. Pufu

arxiv:hep-th/0612065 v3 · 2006-12-07 · hep-th · 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{MP52UFK76MA2AQFYZ5X6EX3IKH}

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.

Cited by

1 paper in Pith

Quasinormal modes of black holes and black branes

Receipt and verification

First computed	2026-07-04T17:20:51.059663Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

63fbaa155ff301a040b8cf6fe25f6851c1206a917bc9a0930eabce62ef52bf04

Aliases

arxiv: hep-th/0612065 · arxiv_version: hep-th/0612065v3 · doi: 10.48550/arxiv.hep-th/0612065 · pith_short_12: MP52UFK76MA2 · pith_short_16: MP52UFK76MA2AQFY · pith_short_8: MP52UFK7

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/MP52UFK76MA2AQFYZ5X6EX3IKH \
  | 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: 63fbaa155ff301a040b8cf6fe25f6851c1206a917bc9a0930eabce62ef52bf04

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "975154a055f9880b6225b8d3988c7339ea257f69413187740285b06904f8f04a",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2006-12-07T21:25:04Z",
    "title_canon_sha256": "dd9c242e9687ea93f03adef30c8f1d9d774c3e89a8edd967727dd208ce6d417c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0612065",
    "kind": "arxiv",
    "version": 3
  }
}