Pith Number

pith:QKR6ZFUL

pith:2021:QKR6ZFULY7ODEZ5CTYGTFHCZZH

not attested not anchored not stored refs pending

Optimal Frobenius light cone in spin chains with power-law interactions

Andrew Lucas, Chi-Fang Chen

arxiv:2105.09960 v2 · 2021-05-20 · quant-ph · cond-mat.str-el · math-ph · 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{QKR6ZFULY7ODEZ5CTYGTFHCZZH}

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	2026-07-05T03:39:59.217837Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

82a3ec968bc7dc3267a29e0d329c59c9cb393ff4173c4cb5115a21f0814cfa88

Aliases

arxiv: 2105.09960 · arxiv_version: 2105.09960v2 · doi: 10.48550/arxiv.2105.09960 · pith_short_12: QKR6ZFULY7OD · pith_short_16: QKR6ZFULY7ODEZ5C · pith_short_8: QKR6ZFUL

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/QKR6ZFULY7ODEZ5CTYGTFHCZZH \
  | 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: 82a3ec968bc7dc3267a29e0d329c59c9cb393ff4173c4cb5115a21f0814cfa88

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1b49129e270db82d5a2032fa8e3f7f2977298550641fdca94e517b8e08762e38",
    "cross_cats_sorted": [
      "cond-mat.str-el",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2021-05-20T18:00:03Z",
    "title_canon_sha256": "39d654c5167a1974250b8c3ac6ac8039e94800202beca0bcd51c16458c4a3674"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2105.09960",
    "kind": "arxiv",
    "version": 2
  }
}