Pith Number

pith:2LUBHVSL

pith:2013:2LUBHVSL4OQY5F2EBOPXSRP2VX

not attested not anchored not stored refs pending

The infinite XXZ quantum spin chain revisited: Structure of low lying spectral bands and gaps

Christoph Fischbacher, G\"unter Stolz

arxiv:1309.1858 v1 · 2013-09-07 · math-ph · math.MP · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2LUBHVSL4OQY5F2EBOPXSRP2VX}

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	2026-05-18T00:27:03.306887Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d2e813d64be3a18e97440b9f7945faadd0dbba5cc6cb500c7101adbae8c2897c

Aliases

arxiv: 1309.1858 · arxiv_version: 1309.1858v1 · doi: 10.48550/arxiv.1309.1858 · pith_short_12: 2LUBHVSL4OQY · pith_short_16: 2LUBHVSL4OQY5F2E · pith_short_8: 2LUBHVSL

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/2LUBHVSL4OQY5F2EBOPXSRP2VX \
  | 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: d2e813d64be3a18e97440b9f7945faadd0dbba5cc6cb500c7101adbae8c2897c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ff590e860e36a691265267bb02708ca2fdba392c46351ac73b5b356216bc23c8",
    "cross_cats_sorted": [
      "math.MP",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2013-09-07T12:25:19Z",
    "title_canon_sha256": "2b3a3dcebad56ec2c48361d1591f5bcdb624d2126fdaa6e568ab73a4418a2ed0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.1858",
    "kind": "arxiv",
    "version": 1
  }
}