Pith Number

pith:G2R5DJX2

pith:2009:G2R5DJX2EFTCAY5HBHTD6UHJXT

not attested not anchored not stored refs pending

Logarithmic corrections to black hole and black ring entropy in tunneling approach

Jian-Long Li, Kai-Nan Shao, Yi-Xin Chen

arxiv:0910.5540 v2 · 2009-10-29 · hep-th · 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{G2R5DJX2EFTCAY5HBHTD6UHJXT}

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	2026-05-18T04:19:22.397072Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

36a3d1a6fa21662063a709e63f50e9bcf244c12732827fa971c94f288a75e623

Aliases

arxiv: 0910.5540 · arxiv_version: 0910.5540v2 · doi: 10.48550/arxiv.0910.5540 · pith_short_12: G2R5DJX2EFTC · pith_short_16: G2R5DJX2EFTCAY5H · pith_short_8: G2R5DJX2

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/G2R5DJX2EFTCAY5HBHTD6UHJXT \
  | 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: 36a3d1a6fa21662063a709e63f50e9bcf244c12732827fa971c94f288a75e623

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3e2c00feca8d0ecd8d01c76539595769c819cc89b63a163cf14d978ea0c27455",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2009-10-29T02:43:40Z",
    "title_canon_sha256": "860b203535546b9a7e3935e63ef55f32eba5c5d3c26653e4ce58d830c334fb22"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0910.5540",
    "kind": "arxiv",
    "version": 2
  }
}