Pith Number

pith:LGK2XX7P

pith:2018:LGK2XX7PTBEVNANERTJGOMEPKM

not attested not anchored not stored refs pending

Thermodynamic limit and twisted boundary energy of the XXZ spin chain with antiperiodic boundary condition

Junpeng Cao, Kangjie Shi, Kun Hao, Wen-Li Yang, Yi Qiao, Yupeng Wang, Zhirong Xin

arxiv:1804.06144 v3 · 2018-04-17 · math-ph · cond-mat.str-el · hep-th · 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{LGK2XX7PTBEVNANERTJGOMEPKM}

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	2026-05-18T00:02:59.865892Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5995abdfef98495681a48cd267308f533724e9b3f78baacf3aefae6a0a76f4e4

Aliases

arxiv: 1804.06144 · arxiv_version: 1804.06144v3 · doi: 10.48550/arxiv.1804.06144 · pith_short_12: LGK2XX7PTBEV · pith_short_16: LGK2XX7PTBEVNANE · pith_short_8: LGK2XX7P

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/LGK2XX7PTBEVNANERTJGOMEPKM \
  | 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: 5995abdfef98495681a48cd267308f533724e9b3f78baacf3aefae6a0a76f4e4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "46e6d56a5bd4b6bfda55f976511f7547e438271703cfec1ec01b6252787bf046",
    "cross_cats_sorted": [
      "cond-mat.str-el",
      "hep-th",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2018-04-17T10:03:15Z",
    "title_canon_sha256": "0235195d0d747c1006ce048beeaa3cd56c5f9885280a979e36835d3c3688b400"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.06144",
    "kind": "arxiv",
    "version": 3
  }
}