Pith Number

pith:SZBM2RBE

pith:2006:SZBM2RBEY2CRZKLFUJWSME5GUW

not attested not anchored not stored refs pending

Hydrodynamics of R-charged black holes

Andrei O. Starinets, Dam T. Son

arxiv:hep-th/0601157 v3 · 2006-01-20 · 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{SZBM2RBEY2CRZKLFUJWSME5GUW}

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	2026-07-04T17:25:26.488390Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9642cd4424c6851ca965a26d2613a6a5aea838d4e859c6381d9fdb804491679e

Aliases

arxiv: hep-th/0601157 · arxiv_version: hep-th/0601157v3 · doi: 10.48550/arxiv.hep-th/0601157 · pith_short_12: SZBM2RBEY2CR · pith_short_16: SZBM2RBEY2CRZKLF · pith_short_8: SZBM2RBE

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/SZBM2RBEY2CRZKLFUJWSME5GUW \
  | 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: 9642cd4424c6851ca965a26d2613a6a5aea838d4e859c6381d9fdb804491679e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "26115e39a2a1ae66c96ef781f16ff9878c1868cb20a802230ba425aa16991ba0",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2006-01-20T20:21:22Z",
    "title_canon_sha256": "a612f95484ada34bb12383a40da71dc12b30a5d152198390cca0cdbd5fe408d0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0601157",
    "kind": "arxiv",
    "version": 3
  }
}