Pith Number

pith:53LHCLPP

pith:2009:53LHCLPP2RCQWPVDCWKW5USGMR

not attested not anchored not stored refs pending

Notes on R-charged black holes near criticality and gauge theory

Sachin Jain, Subir Mukhopadhyay, Sudipta Mukherji

arxiv:0906.5134 v1 · 2009-06-28 · 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{53LHCLPP2RCQWPVDCWKW5USGMR}

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

Probing Thermodynamic Phase Transitions of 4D R-Charged Black Holes via Lyapunov Exponent

Receipt and verification

First computed	2026-07-04T17:16:00.512101Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eed6712defd4450b3ea315956ed246645803890f3628647feb76262872ef28eb

Aliases

arxiv: 0906.5134 · arxiv_version: 0906.5134v1 · doi: 10.48550/arxiv.0906.5134 · pith_short_12: 53LHCLPP2RCQ · pith_short_16: 53LHCLPP2RCQWPVD · pith_short_8: 53LHCLPP

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/53LHCLPP2RCQWPVDCWKW5USGMR \
  | 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: eed6712defd4450b3ea315956ed246645803890f3628647feb76262872ef28eb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "19ee859b67792d3e9f7f4275693f19f6b650e151c7af08a46c9891e426171366",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2009-06-28T12:49:52Z",
    "title_canon_sha256": "c9dbc7863671408bc5de0e0e7ed1682fdea06f6d02e979410bccf138354aeec5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0906.5134",
    "kind": "arxiv",
    "version": 1
  }
}