Pith Number

pith:MVCXLXFS

pith:2006:MVCXLXFSHMCMXAXMKUG7VGUMN4

not attested not anchored not stored refs pending

Entanglement, Haag-duality and type properties of infinite quantum spin chains

D. Schlingemann, M. Keyl, R. F. Werner, T. Matsui

arxiv:math-ph/0604071 v1 · 2006-04-27 · 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{MVCXLXFSHMCMXAXMKUG7VGUMN4}

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	2026-07-04T17:02:06.247015Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

654575dcb23b04cb82ec550dfa9a8c6f36530ab574b88243a08a952a11d49766

Aliases

arxiv: math-ph/0604071 · arxiv_version: math-ph/0604071v1 · doi: 10.48550/arxiv.math-ph/0604071 · pith_short_12: MVCXLXFSHMCM · pith_short_16: MVCXLXFSHMCMXAXM · pith_short_8: MVCXLXFS

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/MVCXLXFSHMCMXAXMKUG7VGUMN4 \
  | 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: 654575dcb23b04cb82ec550dfa9a8c6f36530ab574b88243a08a952a11d49766

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f5e3c6cda695bbff83c6e462b8c6639a76ba766d885c0848dc08917e5a133ffe",
    "cross_cats_sorted": [
      "math.MP",
      "quant-ph"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2006-04-27T21:19:02Z",
    "title_canon_sha256": "5a62830537bd8a72a91416271bdb46c525fb3e88f5bd9d91710f74b846b3364b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0604071",
    "kind": "arxiv",
    "version": 1
  }
}