pith. sign in
Pith Number

pith:4EFZ5X3H

pith:2000:4EFZ5X3HZMPGY7XX2JXGJEGXAP
not attested not anchored not stored refs pending

Finite Size XXZ Spin Chain with Anisotropy Parameter $\Delta = {1/2}$

D. Zagier, V. Fridkin, Yu. Stroganov

arxiv:nlin/0010021 v1 · 2000-10-11 · nlin.SI · cond-mat.stat-mech

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{4EFZ5X3HZMPGY7XX2JXGJEGXAP}

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 2026-05-18T01:38:22.061210Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

e10b9edf67cb1e6c7ef7d26e6490d703ee73b27cc934046fb69bea84d798bb04

Aliases

arxiv: nlin/0010021 · arxiv_version: nlin/0010021v1 · doi: 10.48550/arxiv.nlin/0010021 · pith_short_12: 4EFZ5X3HZMPG · pith_short_16: 4EFZ5X3HZMPGY7XX · pith_short_8: 4EFZ5X3H
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/4EFZ5X3HZMPGY7XX2JXGJEGXAP \
  | 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: e10b9edf67cb1e6c7ef7d26e6490d703ee73b27cc934046fb69bea84d798bb04
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "8a536c845aa8b0eb2d6bceb7f68fcb03e1573c45aa724e22bb3941f8fc08520f",
    "cross_cats_sorted": [
      "cond-mat.stat-mech"
    ],
    "license": "",
    "primary_cat": "nlin.SI",
    "submitted_at": "2000-10-11T03:29:58Z",
    "title_canon_sha256": "44a4fcbf05ab2e80a9865c1b48ad7110acb0069d20121ca2aa4e7be6744bf03e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "nlin/0010021",
    "kind": "arxiv",
    "version": 1
  }
}