Pith Number

pith:MIMHWFGT

pith:2017:MIMHWFGTTW37HJJVVI5P4TVJMO

not attested not anchored not stored refs pending

Lieb-Robinson Bounds for Multi-Commutators and Applications to Response Theory

J.-B. Bru, W. de Siqueira Pedra

arxiv:1702.08869 v2 · 2017-02-28 · math-ph · math.DS · math.MP · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MIMHWFGTTW37HJJVVI5P4TVJMO}

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	2026-05-18T00:49:20.882289Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

62187b14d39db7f3a535aa3afe4ea963843ddba22c1fc3bff9074004821cb823

Aliases

arxiv: 1702.08869 · arxiv_version: 1702.08869v2 · doi: 10.48550/arxiv.1702.08869 · pith_short_12: MIMHWFGTTW37 · pith_short_16: MIMHWFGTTW37HJJV · pith_short_8: MIMHWFGT

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/MIMHWFGTTW37HJJVVI5P4TVJMO \
  | 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: 62187b14d39db7f3a535aa3afe4ea963843ddba22c1fc3bff9074004821cb823

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1b92a6f7e4218ead0516e7572f02fe40f00d307436b6076d5e16b4a924cafe6b",
    "cross_cats_sorted": [
      "math.DS",
      "math.MP",
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2017-02-28T17:14:11Z",
    "title_canon_sha256": "b4888661d56373f9ee579549c5550da33dfd7d835eb5cfd7b869cb283328610c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.08869",
    "kind": "arxiv",
    "version": 2
  }
}