Pith Number

pith:GRSXZFF4

pith:2026:GRSXZFF44VFGYCZIXGDFBHQDIX

not attested not anchored not stored refs pending

Exact spectrum of the XX spin chain with constrained non-diagonal boundary fields

Changqing Liu, Xiaotian Xu, Xin Zhang

arxiv:2606.01918 v1 · 2026-06-01 · 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{GRSXZFF44VFGYCZIXGDFBHQDIX}

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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	2026-06-02T02:05:00.486159Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

34657c94bce54a6c0b28b986509e0345c5b189575e6bfe2bdcba787bf1f808d7

Aliases

arxiv: 2606.01918 · arxiv_version: 2606.01918v1 · doi: 10.48550/arxiv.2606.01918 · pith_short_12: GRSXZFF44VFG · pith_short_16: GRSXZFF44VFGYCZI · pith_short_8: GRSXZFF4

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/GRSXZFF44VFGYCZIXGDFBHQDIX \
  | 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: 34657c94bce54a6c0b28b986509e0345c5b189575e6bfe2bdcba787bf1f808d7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "72f9aa086ebbaf43ebe6b6fd0d56739be86b64767b51b1ebcd6be8b9042890af",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2026-06-01T08:53:12Z",
    "title_canon_sha256": "f850b225469e14db0deff6a036c5c97130875baa5c08fe419ce2b01083c7d2c4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.01918",
    "kind": "arxiv",
    "version": 1
  }
}