Pith Number

pith:J5XE5WKK

pith:2026:J5XE5WKKHEQAM3263FYD5AVDRN

not attested not anchored not stored refs pending

Towards stealthy hyperuniform networks with optimal isotropic complete photonic band gaps using a novel inverse design procedure

Christoph R\"ath, Joel Steinegger, Michael A. Klatt, Paul J. Steinhardt, Salvatore Torquato

arxiv:2607.13199 v1 · 2026-07-14 · physics.optics · cond-mat.dis-nn · physics.comp-ph

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{J5XE5WKKHEQAM3263FYD5AVDRN}

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	2026-07-16T00:22:02.524670Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4f6e4ed94a3920066f5ed9703e82a38b43665b9b847874cf1dfc5389658d1c23

Aliases

arxiv: 2607.13199 · arxiv_version: 2607.13199v1 · doi: 10.48550/arxiv.2607.13199 · pith_short_12: J5XE5WKKHEQA · pith_short_16: J5XE5WKKHEQAM326 · pith_short_8: J5XE5WKK

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/J5XE5WKKHEQAM3263FYD5AVDRN \
  | 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: 4f6e4ed94a3920066f5ed9703e82a38b43665b9b847874cf1dfc5389658d1c23

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0f5ff1f5c963ac1ab92e8989fe00c0c863b76775f1239840c8056ae996bfc297",
    "cross_cats_sorted": [
      "cond-mat.dis-nn",
      "physics.comp-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2026-07-14T18:49:23Z",
    "title_canon_sha256": "1576cbb61d16ef4de325fd990503726c877fa173525446b18b32364b0ebda693"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.13199",
    "kind": "arxiv",
    "version": 1
  }
}