Pith Number

pith:4GIFO5U7

pith:2025:4GIFO5U7PVI5NK6SPC7D2Y74M4

not attested not anchored not stored refs pending

Krylov Complexity and Mixed-State Phase Transition

Hung-Hsuan Teh, Takahiro Orito

arxiv:2510.22542 v4 · 2025-10-26 · quant-ph · cond-mat.stat-mech · 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{4GIFO5U7PVI5NK6SPC7D2Y74M4}

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	2026-05-25T02:01:08.878749Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e19057769f7d51d6abd278be3d63fc672b563218aeb5182198aa6df559531727

Aliases

arxiv: 2510.22542 · arxiv_version: 2510.22542v4 · doi: 10.48550/arxiv.2510.22542 · pith_short_12: 4GIFO5U7PVI5 · pith_short_16: 4GIFO5U7PVI5NK6S · pith_short_8: 4GIFO5U7

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/4GIFO5U7PVI5NK6SPC7D2Y74M4 \
  | 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: e19057769f7d51d6abd278be3d63fc672b563218aeb5182198aa6df559531727

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b1bdc96400c3c49b938fb88acb6d6d681153c04de2c180ed36f7ab9da60de152",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2025-10-26T05:46:34Z",
    "title_canon_sha256": "280b76bb2a96df69b330d30680f7f8f95a978c562483e9ff46936c7dd9ad2aed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2510.22542",
    "kind": "arxiv",
    "version": 4
  }
}