Pith Number

pith:3IO5SH7Q

pith:2005:3IO5SH7QJVZ4MWM5772CL42PDO

not attested not anchored not stored refs pending

Spontaneous $SU_2(\mathbb{C})$ symmetry breaking in the ground states of quantum spin chain

Anilesh Mohari

arxiv:math-ph/0509049 v7 · 2005-09-21 · math-ph · math.MP · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3IO5SH7QJVZ4MWM5772CL42PDO}

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	2026-05-18T00:36:04.397413Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

da1dd91ff04d73c6599dfff425f34f1bb680e5aba36ecd387738982e50e9c486

Aliases

arxiv: math-ph/0509049 · arxiv_version: math-ph/0509049v7 · doi: 10.48550/arxiv.math-ph/0509049 · pith_short_12: 3IO5SH7QJVZ4 · pith_short_16: 3IO5SH7QJVZ4MWM5 · pith_short_8: 3IO5SH7Q

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/3IO5SH7QJVZ4MWM5772CL42PDO \
  | 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: da1dd91ff04d73c6599dfff425f34f1bb680e5aba36ecd387738982e50e9c486

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d60f3ceac20404d382e36f412f5ea1e18091d11a8e02fe5164730e4f271e45c9",
    "cross_cats_sorted": [
      "math.MP",
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2005-09-21T22:08:41Z",
    "title_canon_sha256": "202b1b004213a804dc2ecc9f82eab3f5306b36ad9b15df5857b748aa328da4c1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0509049",
    "kind": "arxiv",
    "version": 7
  }
}