Pith Number

pith:4XYRK6JU

pith:2026:4XYRK6JUNOLF2RLKNSMJJLBEE2

not attested not anchored not stored refs pending

Spectral Analysis of the Schr\"odinger Operator for the Incommensurate System

Aihui Zhou, Yan Li, Yujian Song

arxiv:2602.08308 v2 · 2026-02-09 · 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{4XYRK6JUNOLF2RLKNSMJJLBEE2}

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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.

Cited by

2 papers in Pith

Kohn-Sham models for encapsulated two-dimensional materials

Relaxation of Incommensurate Structures via Quantum Models

Receipt and verification

First computed	2026-07-24T01:23:05.137362Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e5f11579346b965d456a6c9894ac2426bfe8e66730737213046e384893c7ab75

Aliases

arxiv: 2602.08308 · arxiv_version: 2602.08308v2 · doi: 10.48550/arxiv.2602.08308 · pith_short_12: 4XYRK6JUNOLF · pith_short_16: 4XYRK6JUNOLF2RLK · pith_short_8: 4XYRK6JU

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/4XYRK6JUNOLF2RLKNSMJJLBEE2 \
  | 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: e5f11579346b965d456a6c9894ac2426bfe8e66730737213046e384893c7ab75

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bbac23eea739d8d73c08a13b229fdedbdbeb812285bf3bb58aeb8cbc8496daa5",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2026-02-09T06:30:14Z",
    "title_canon_sha256": "1e432b1ddee8167ab777d2b6d4f03b768b022e7f9cdc5530336882c37e989430"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2602.08308",
    "kind": "arxiv",
    "version": 2
  }
}