Pith Number

pith:TK6SPS2M

pith:2026:TK6SPS2MLVBB7WFTUGMHM5CZ2F

not attested not anchored not stored refs pending

Endpoint Control of Thermodynamic Topological Classes for Fixed Charge \texorpdfstring{$d$}{d}-dimensional Reissner--Nordstr\"om Black Holes in a Cavity

Rongrong Zhai

arxiv:2606.27236 v1 · 2026-06-25 · 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{TK6SPS2MLVBB7WFTUGMHM5CZ2F}

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	2026-06-26T01:16:15.872773Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9abd27cb4c5d421fd8b3a198767459d16b1cef01a63274c3a535693ac9c4ad7d

Aliases

arxiv: 2606.27236 · arxiv_version: 2606.27236v1 · doi: 10.48550/arxiv.2606.27236 · pith_short_12: TK6SPS2MLVBB · pith_short_16: TK6SPS2MLVBB7WFT · pith_short_8: TK6SPS2M

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/TK6SPS2MLVBB7WFTUGMHM5CZ2F \
  | 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: 9abd27cb4c5d421fd8b3a198767459d16b1cef01a63274c3a535693ac9c4ad7d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f26fe088b588fdda493b51e721de0dd72e9242a3ea8bc0011b6c9eddcadf2e84",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2026-06-25T16:21:57Z",
    "title_canon_sha256": "7ac1af16f3d558a2b41ac520937b1792d73588cfd58110c9c0cdf8d22983d260"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.27236",
    "kind": "arxiv",
    "version": 1
  }
}