Pith Number

pith:LML5NRAY

pith:2007:LML5NRAYOQDT4V6PASXNNOI7LH

not attested not anchored not stored refs pending

Thermodynamics of Charged BTZ Black Holes and Effective String Theory

Alexis Larranaga

arxiv:0710.1825 v1 · 2007-10-09 · gr-qc · 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{LML5NRAYOQDT4V6PASXNNOI7LH}

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	2026-05-18T02:35:24.587298Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5b17d6c41874073e57cf04aed6b91f59ca8f8b0952087bcb004fd239130b8431

Aliases

arxiv: 0710.1825 · arxiv_version: 0710.1825v1 · doi: 10.48550/arxiv.0710.1825 · pith_short_12: LML5NRAYOQDT · pith_short_16: LML5NRAYOQDT4V6P · pith_short_8: LML5NRAY

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/LML5NRAYOQDT4V6PASXNNOI7LH \
  | 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: 5b17d6c41874073e57cf04aed6b91f59ca8f8b0952087bcb004fd239130b8431

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f581203d66a895762e665b02f21c3d61dc3d28a5807cf2920653d90292754a25",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2007-10-09T17:14:48Z",
    "title_canon_sha256": "5f03ec3de8d59ee9c2149fd2458d3cdac8a30c550411041ca61a7ccedc4fecd8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0710.1825",
    "kind": "arxiv",
    "version": 1
  }
}