Pith Number

pith:5ANOISFP

pith:2025:5ANOISFP3SOXXC6Q7QXODQRL2J

not attested not anchored not stored refs pending

Universal estimates for the density of states for aperiodic block subwavelength resonator systems

Alexander Uhlmann, Bryn Davies, Erik Orvehed Hiltunen, Habib Ammari, Silvio Barandun

arxiv:2505.16677 v1 · 2025-05-22 · math-ph · cond-mat.dis-nn · cond-mat.mtrl-sci · 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{5ANOISFP3SOXXC6Q7QXODQRL2J}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

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	2026-07-05T11:07:38.978563Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e81ae448afdc9d7b8bd0fc2ee1c22bd25414999f8141384c6dbad84496bd1d14

Aliases

arxiv: 2505.16677 · arxiv_version: 2505.16677v1 · doi: 10.48550/arxiv.2505.16677 · pith_short_12: 5ANOISFP3SOX · pith_short_16: 5ANOISFP3SOXXC6Q · pith_short_8: 5ANOISFP

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/5ANOISFP3SOXXC6Q7QXODQRL2J \
  | 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: e81ae448afdc9d7b8bd0fc2ee1c22bd25414999f8141384c6dbad84496bd1d14

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6326d6d5b17dec49713046b4fed9ac880649804f833b6087b3a6e07c48333dee",
    "cross_cats_sorted": [
      "cond-mat.dis-nn",
      "cond-mat.mtrl-sci",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2025-05-22T13:42:15Z",
    "title_canon_sha256": "34f449edde1d18c4aa5cf31b5c602c35592f20b60569114579589ebde1cc33be"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.16677",
    "kind": "arxiv",
    "version": 1
  }
}