Pith Number

pith:YRCZWNSL

pith:2013:YRCZWNSLL72MJPD65JWGWDFVHF

not attested not anchored not stored refs pending

Localization for random block operators related to the XY spin chain

G\"unter Stolz, Jacob Chapman

arxiv:1308.0708 v2 · 2013-08-03 · 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{YRCZWNSLL72MJPD65JWGWDFVHF}

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	2026-05-18T00:26:31.025425Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c4459b364b5ff4c4bc7eea6c6b0cb539525e421aab027e9ba4a628a4714f0d57

Aliases

arxiv: 1308.0708 · arxiv_version: 1308.0708v2 · doi: 10.48550/arxiv.1308.0708 · pith_short_12: YRCZWNSLL72M · pith_short_16: YRCZWNSLL72MJPD6 · pith_short_8: YRCZWNSL

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/YRCZWNSLL72MJPD65JWGWDFVHF \
  | 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: c4459b364b5ff4c4bc7eea6c6b0cb539525e421aab027e9ba4a628a4714f0d57

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3bacf922c6e7bd94b497bdd28f39dfd13e0f1b565e2aac3ba3509dccf65366b2",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2013-08-03T15:43:27Z",
    "title_canon_sha256": "b33e579c603a0a669c3b1184922eddeb8b01941569e101ca71ea3b59194522e1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.0708",
    "kind": "arxiv",
    "version": 2
  }
}