Pith Number

pith:LJVRLBFC

pith:2025:LJVRLBFCGEDTVB7Z4K2IECE26U

not attested not anchored not stored refs pending

Optimal dispersion for discrete periodic Schr\"odinger operators

David Damanik (Rice University), Giorgio Young (University of Michigan), Jake Fillman (Texas A&M University)

arxiv:2505.14475 v1 · 2025-05-20 · 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{LJVRLBFCGEDTVB7Z4K2IECE26U}

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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

Sharp Polynomial Velocity Decay Bounds for Multidimensional Periodic Schr\"odinger Operators

Receipt and verification

First computed	2026-07-05T11:06:01.827868Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5a6b1584a231073a87f9e2b482089af51c09f547a20380c2c401bc811a3dcdf5

Aliases

arxiv: 2505.14475 · arxiv_version: 2505.14475v1 · doi: 10.48550/arxiv.2505.14475 · pith_short_12: LJVRLBFCGEDT · pith_short_16: LJVRLBFCGEDTVB7Z · pith_short_8: LJVRLBFC

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/LJVRLBFCGEDTVB7Z4K2IECE26U \
  | 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: 5a6b1584a231073a87f9e2b482089af51c09f547a20380c2c401bc811a3dcdf5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2575ed184cae7df3e1e6d50661a1a2218ebb5d3fc3254791d8f111b53708b54a",
    "cross_cats_sorted": [
      "math-ph",
      "math.AP",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2025-05-20T15:08:52Z",
    "title_canon_sha256": "8fc667fa36c160a775f0e6eaadf16f2fcc249a17b2af9b447dd36dad2d520648"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.14475",
    "kind": "arxiv",
    "version": 1
  }
}