Pith Number

pith:TTHOIT6E

pith:2012:TTHOIT6E3WZ3OLA6SF62GC37Y5

not attested not anchored not stored refs pending

Spectroscopy of the rotating BTZ black hole via adiabatic invariance

Wen-Biao Liu, Xian-Ming Liu, Xiao-Xiong Zeng

arxiv:1204.1786 v1 · 2012-04-09 · 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{TTHOIT6E3WZ3OLA6SF62GC37Y5}

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	2026-05-18T03:50:12.083963Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9ccee44fc4ddb3b72c1e917da30b7fc762b92b1da93d2241badb4876aa7e4bdf

Aliases

arxiv: 1204.1786 · arxiv_version: 1204.1786v1 · doi: 10.48550/arxiv.1204.1786 · pith_short_12: TTHOIT6E3WZ3 · pith_short_16: TTHOIT6E3WZ3OLA6 · pith_short_8: TTHOIT6E

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/TTHOIT6E3WZ3OLA6SF62GC37Y5 \
  | 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: 9ccee44fc4ddb3b72c1e917da30b7fc762b92b1da93d2241badb4876aa7e4bdf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "60790708bcc15d07af5b7283752b1509b8873adba970c5ee2ee7ffec53d97cca",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2012-04-09T03:07:38Z",
    "title_canon_sha256": "c27463a933104de019f7c4e9413aa7101cf2b5b2f337e1dc25b4846f6f5e9f30"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.1786",
    "kind": "arxiv",
    "version": 1
  }
}