Pith Number

pith:CZBQ3QNG

pith:2014:CZBQ3QNGYO7RDRWBMNGCES5TE4

not attested not anchored not stored refs pending

Lieb-Robinson bounds, Arveson spectrum and Haag-Ruelle scattering theory for gapped quantum spin systems

Pieter Naaijkens, Sven Bachmann, Wojciech Dybalski

arxiv:1412.2970 v2 · 2014-12-09 · math-ph · 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{CZBQ3QNGYO7RDRWBMNGCES5TE4}

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	2026-05-18T02:19:18.657666Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

16430dc1a6c3bf11c6c1634c224bb32723cd031602bdefd316a34ff2aac57408

Aliases

arxiv: 1412.2970 · arxiv_version: 1412.2970v2 · doi: 10.48550/arxiv.1412.2970 · pith_short_12: CZBQ3QNGYO7R · pith_short_16: CZBQ3QNGYO7RDRWB · pith_short_8: CZBQ3QNG

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/CZBQ3QNGYO7RDRWBMNGCES5TE4 \
  | 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: 16430dc1a6c3bf11c6c1634c224bb32723cd031602bdefd316a34ff2aac57408

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c72c7ed6b2c671757e61e242381159ebffffe72e6979228403d8da623a417938",
    "cross_cats_sorted": [
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2014-12-09T14:35:16Z",
    "title_canon_sha256": "4bb7f65853dd96bf3145e39926ecb61a04c2d78e35c29649b643c73fdaa37292"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.2970",
    "kind": "arxiv",
    "version": 2
  }
}