Pith Number

pith:A576MUPQ

pith:2021:A576MUPQKG5CNXFEUXIX6K7XH7

not attested not anchored not stored refs pending

Ruppeiner Geometry of the RN-AdS Black Hole Using Shadow Formalism

Bin Wu, Chao Wang, Wen-Li Yang, Zhen-Ming Xu

arxiv:2107.12615 v1 · 2021-07-27 · 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{A576MUPQKG5CNXFEUXIX6K7XH7}

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	2026-07-05T04:05:33.015747Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

077fe651f051ba26dca4a5d17f2bf73ff7a325be275b0e4796348870c97a27d5

Aliases

arxiv: 2107.12615 · arxiv_version: 2107.12615v1 · doi: 10.48550/arxiv.2107.12615 · pith_short_12: A576MUPQKG5C · pith_short_16: A576MUPQKG5CNXFE · pith_short_8: A576MUPQ

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/A576MUPQKG5CNXFEUXIX6K7XH7 \
  | 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: 077fe651f051ba26dca4a5d17f2bf73ff7a325be275b0e4796348870c97a27d5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dbca184e13d52f944379cb517139f04e8fba2fbbcb26514e1e764a84c9b3bcc7",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2021-07-27T06:02:19Z",
    "title_canon_sha256": "9e42d9decf5a20390819a14c4773e906febe889d73bbfe6d5cd63f0c95d97771"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2107.12615",
    "kind": "arxiv",
    "version": 1
  }
}