Pith Number

pith:XF36J4BZ

pith:2022:XF36J4BZHJI3MHIZDCC6F2NZD5

not attested not anchored not stored refs pending

A universal approach to Krylov State and Operator complexities

Mohsen Alishahiha, Souvik Banerjee

arxiv:2212.10583 v3 · 2022-12-20 · hep-th · cond-mat.stat-mech · 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{XF36J4BZHJI3MHIZDCC6F2NZD5}

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.

Cited by

2 papers in Pith

Krylov complexity has it all

Krylov Complexity

Receipt and verification

First computed	2026-07-05T06:45:48.563714Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b977e4f0393a51b61d191885e2e9b91f445c3ea20e05d4060a337b99f28e5080

Aliases

arxiv: 2212.10583 · arxiv_version: 2212.10583v3 · doi: 10.48550/arxiv.2212.10583 · pith_short_12: XF36J4BZHJI3 · pith_short_16: XF36J4BZHJI3MHIZ · pith_short_8: XF36J4BZ

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/XF36J4BZHJI3MHIZDCC6F2NZD5 \
  | 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: b977e4f0393a51b61d191885e2e9b91f445c3ea20e05d4060a337b99f28e5080

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5a54236bb8a32ae1d6e7f4c5d4c4c7fc57a3eac537571126395321b6d76c08eb",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "quant-ph"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2022-12-20T19:00:12Z",
    "title_canon_sha256": "73e5cb2c73f4deb04bebb9bc1900ce7aa3d31bea552c60c932a66e7edd0cdc11"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2212.10583",
    "kind": "arxiv",
    "version": 3
  }
}