Pith Number

pith:A732PZLF

pith:2026:A732PZLFZ7JCS3B4P7OQA6RGRI

not attested not anchored not stored refs pending

The quadratic growth of Krylov spread complexity in the BTZ black hole

Aranya Bhattacharya, Emiliano Rizza, Mario Flory, Michal P. Heller, Tim Schuhmann

arxiv:2608.09922 v1 · 2026-08-10 · hep-th · cond-mat.str-el · gr-qc · quant-ph

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{A732PZLFZ7JCS3B4P7OQA6RGRI}

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	2026-08-11T02:25:28.085659Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

07f7a7e565cfd2296c3c7fdd007a268a107e34c5b274b157c04e722127df21ed

Aliases

arxiv: 2608.09922 · arxiv_version: 2608.09922v1 · doi: 10.48550/arxiv.2608.09922 · pith_short_12: A732PZLFZ7JC · pith_short_16: A732PZLFZ7JCS3B4 · pith_short_8: A732PZLF

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/A732PZLFZ7JCS3B4P7OQA6RGRI \
  | 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: 07f7a7e565cfd2296c3c7fdd007a268a107e34c5b274b157c04e722127df21ed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4f58e90feb1a035f579287e2b2788f109658293d45779ea2d4821d9bda6facb1",
    "cross_cats_sorted": [
      "cond-mat.str-el",
      "gr-qc",
      "quant-ph"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2026-08-10T17:58:15Z",
    "title_canon_sha256": "00615a2ceced0a5fbdd354453f231679dcf81e8e34409e8e021406ef62ced781"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.09922",
    "kind": "arxiv",
    "version": 1
  }
}