Pith Number

pith:32NSPJWL

pith:2018:32NSPJWLVO52BIYFZOCLZ7SSSS

not attested not anchored not stored refs pending

On singularities of dynamic response functions in the massless regime of the XXZ spin-1/2 chain

K. K. Kozlowski

arxiv:1811.06076 v1 · 2018-11-14 · math-ph · cond-mat.stat-mech · math.MP · nlin.SI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{32NSPJWLVO52BIYFZOCLZ7SSSS}

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	2026-07-05T08:33:12.729833Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

de9b27a6cbabbba0a305cb84bcfe52948647309ba3af2c07655f64bb973365a8

Aliases

arxiv: 1811.06076 · arxiv_version: 1811.06076v1 · doi: 10.48550/arxiv.1811.06076 · pith_short_12: 32NSPJWLVO52 · pith_short_16: 32NSPJWLVO52BIYF · pith_short_8: 32NSPJWL

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/32NSPJWLVO52BIYFZOCLZ7SSSS \
  | 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: de9b27a6cbabbba0a305cb84bcfe52948647309ba3af2c07655f64bb973365a8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3ad19074bbcf331b96b68a19db61fbf82730afab23c13f9605a70f6bc1df0658",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "math.MP",
      "nlin.SI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2018-11-14T21:39:02Z",
    "title_canon_sha256": "ea8fc7da69b64a9bec210cb5ed330dfe66f0aa78ee9969f002607dfd73aa453c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.06076",
    "kind": "arxiv",
    "version": 1
  }
}