Pith Number

pith:PX4ME25A

pith:2026:PX4ME25AL4YBKW7RV2B3EFD66F

not attested not anchored not stored refs pending

Extremalization approach to black hole thermodynamics: perturbations around higher-derivative gravities

Aonan Zhang, Qiang Wang, Yong Xiao

arxiv:2601.00771 v1 · 2026-01-02 · 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{PX4ME25AL4YBKW7RV2B3EFD66F}

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	2026-05-20T00:00:31.682407Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7df8c26ba05f30155bf1ae83b2147ef157c93225c4dbd03dd74949c57f208777

Aliases

arxiv: 2601.00771 · arxiv_version: 2601.00771v1 · doi: 10.48550/arxiv.2601.00771 · pith_short_12: PX4ME25AL4YB · pith_short_16: PX4ME25AL4YBKW7R · pith_short_8: PX4ME25A

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/PX4ME25AL4YBKW7RV2B3EFD66F \
  | 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: 7df8c26ba05f30155bf1ae83b2147ef157c93225c4dbd03dd74949c57f208777

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "32991d323698139f259c124c8eedaae372cc2206a44ed09bb57c48ed8f233fc7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2026-01-02T18:06:47Z",
    "title_canon_sha256": "7b3ecd5c932720b63818fbde3ddb5b298b7984d2e22ca41569daa2e58179559c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2601.00771",
    "kind": "arxiv",
    "version": 1
  }
}