Pith Number

pith:UKNUIFXW

pith:2019:UKNUIFXWS6FBHQCEOXDCDCM3T7

not attested not anchored not stored refs pending

Operator growth bounds from graph theory

Andrew Lucas, Chi-Fang Chen

arxiv:1905.03682 v2 · 2019-05-09 · math-ph · hep-th · math.MP · 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{UKNUIFXWS6FBHQCEOXDCDCM3T7}

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

1 paper in Pith

Bridging Krylov Complexity and Universal Analog Quantum Simulator

Receipt and verification

First computed	2026-07-05T02:57:48.695432Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a29b4416f6978a13c04475c621899b9fd8ed726a42a3d7018e4030d222f85da9

Aliases

arxiv: 1905.03682 · arxiv_version: 1905.03682v2 · doi: 10.48550/arxiv.1905.03682 · pith_short_12: UKNUIFXWS6FB · pith_short_16: UKNUIFXWS6FBHQCE · pith_short_8: UKNUIFXW

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/UKNUIFXWS6FBHQCEOXDCDCM3T7 \
  | 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: a29b4416f6978a13c04475c621899b9fd8ed726a42a3d7018e4030d222f85da9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6ab69b772248d72ddcaf466b924bccb888c221bc7a6bea9add9e32731bd31abe",
    "cross_cats_sorted": [
      "hep-th",
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2019-05-09T15:17:19Z",
    "title_canon_sha256": "bcf7eff064d2ebc40e8fc853076b2a3bf67875ac7e924073f0d961c2dc365670"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.03682",
    "kind": "arxiv",
    "version": 2
  }
}