Pith Number

pith:RULWWNPE

pith:2010:RULWWNPEE76U5UZ2KW66V3MEU7

not attested not anchored not stored refs pending

Entanglement Entropy for the Charged BTZ Black Hole

Alexis Larranaga

arxiv:1002.3416 v2 · 2010-02-18 · 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{RULWWNPEE76U5UZ2KW66V3MEU7}

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	2026-05-18T04:14:18.254642Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8d176b35e427fd4ed33a55bdeaed84a7c4f08598d7e467296b0f60ab9ab4769a

Aliases

arxiv: 1002.3416 · arxiv_version: 1002.3416v2 · doi: 10.48550/arxiv.1002.3416 · pith_short_12: RULWWNPEE76U · pith_short_16: RULWWNPEE76U5UZ2 · pith_short_8: RULWWNPE

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/RULWWNPEE76U5UZ2KW66V3MEU7 \
  | 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: 8d176b35e427fd4ed33a55bdeaed84a7c4f08598d7e467296b0f60ab9ab4769a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "04a1c7611d150401b9bcbb83c4265fc27f796871f3064f6599c30013db8926a2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2010-02-18T01:25:09Z",
    "title_canon_sha256": "7f6311177ba01b72c50dd923bae7879345bc86db844c88bd8b4587695a6d4f79"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1002.3416",
    "kind": "arxiv",
    "version": 2
  }
}