Pith Number

pith:SNHUYG3S

pith:2024:SNHUYG3SFSBYO26NXGODN62K5Q

not attested not anchored not stored refs pending

Convergence of supercell and superspace methods for computing spectra of quasiperiodic operators

Bryn Davies, Clemens Thalhammer

arxiv:2411.15906 v1 · 2024-11-24 · math.SP · math-ph · math.AP · 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{SNHUYG3SFSBYO26NXGODN62K5Q}

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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	2026-07-05T09:39:43.313323Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

934f4c1b722c83876bcdb99c36fb4aec249c31d369b36b6e39a3de568d962b99

Aliases

arxiv: 2411.15906 · arxiv_version: 2411.15906v1 · doi: 10.48550/arxiv.2411.15906 · pith_short_12: SNHUYG3SFSBY · pith_short_16: SNHUYG3SFSBYO26N · pith_short_8: SNHUYG3S

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/SNHUYG3SFSBYO26NXGODN62K5Q \
  | 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: 934f4c1b722c83876bcdb99c36fb4aec249c31d369b36b6e39a3de568d962b99

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bdba53aa4043d64c37c2d898fb33af48fc47c5d32fa38229b2ae056c036cf37f",
    "cross_cats_sorted": [
      "math-ph",
      "math.AP",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2024-11-24T16:32:29Z",
    "title_canon_sha256": "d1f057b5a04a1afbfc0c204a99776525a968fd86f9013146da043b92e12a2d4b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2411.15906",
    "kind": "arxiv",
    "version": 1
  }
}