Pith Number

pith:4WNFNB2F

pith:2025:4WNFNB2FUNJF5D2NU5Y23MNQIO

not attested not anchored not stored refs pending

Numerical computation of the density of states of aperiodic multiscale Schr\"odinger operators

Daniel Massatt, Eric Canc\`es, \'Etienne Polack, Long Meng, Xue Quan

arxiv:2510.15369 v3 · 2025-10-17 · 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{4WNFNB2FUNJF5D2NU5Y23MNQIO}

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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

1 paper in Pith

Kohn-Sham models for encapsulated two-dimensional materials

Receipt and verification

First computed	2026-07-13T00:17:03.964383Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e59a568745a3525e8f4da771adb1b0439af752b10c39acf7177c8d7eaabb702c

Aliases

arxiv: 2510.15369 · arxiv_version: 2510.15369v3 · doi: 10.48550/arxiv.2510.15369 · pith_short_12: 4WNFNB2FUNJF · pith_short_16: 4WNFNB2FUNJF5D2N · pith_short_8: 4WNFNB2F

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/4WNFNB2FUNJF5D2NU5Y23MNQIO \
  | 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: e59a568745a3525e8f4da771adb1b0439af752b10c39acf7177c8d7eaabb702c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "42012f0af20740ad7666d8e99290fe1859bbcaaf0123e9750cc05f3ea83be65a",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2025-10-17T07:05:44Z",
    "title_canon_sha256": "0fee61b39578a028a7204df0ee4b2c7383c480b3f7396c953d0ea20e10e47b31"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2510.15369",
    "kind": "arxiv",
    "version": 3
  }
}