Pith Number

pith:WCTN332M

pith:2005:WCTN332MA2OEKNIODCDCHOMOQG

not attested not anchored not stored refs pending

Lieb-Robinson Bounds and the Exponential Clustering Theorem

Bruno Nachtergaele, Robert Sims

arxiv:math-ph/0506030 v3 · 2005-06-10 · math-ph · cond-mat.stat-mech · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WCTN332MA2OEKNIODCDCHOMOQG}

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

Topological Control of Quantum Chaos Diagnostics: OTOCs, Spectral Statistics, and Information Scrambling in Ising Model

Receipt and verification

First computed	2026-07-04T14:48:59.506153Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b0a6ddef4c069c45350e188623b98e8189e11ddff416129046e955da299e3ca2

Aliases

arxiv: math-ph/0506030 · arxiv_version: math-ph/0506030v3 · doi: 10.48550/arxiv.math-ph/0506030 · pith_short_12: WCTN332MA2OE · pith_short_16: WCTN332MA2OEKNIO · pith_short_8: WCTN332M

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/WCTN332MA2OEKNIODCDCHOMOQG \
  | 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: b0a6ddef4c069c45350e188623b98e8189e11ddff416129046e955da299e3ca2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "18e4178c81ef2963341fe88c8acdc94ced52825eeaf61dfdfd2968e5b4164c6c",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2005-06-10T21:33:19Z",
    "title_canon_sha256": "eb66da9cf5bd19e52cb1083116bda893b4725134c57531e8ba971a406e225c9f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0506030",
    "kind": "arxiv",
    "version": 3
  }
}