Pith Number

pith:BOZEGGAF

pith:2021:BOZEGGAFIQVTNGJACYDAUFEQTC

not attested not anchored not stored refs pending

Gap Sensitivity Reveals Universal Behaviors in Optimized Photonic Crystal and Disordered Networks

Michael A. Klatt, Paul J. Steinhardt, Salvatore Torquato

arxiv:2107.07216 v1 · 2021-07-15 · physics.optics · 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{BOZEGGAFIQVTNGJACYDAUFEQTC}

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	2026-07-05T02:58:12.012565Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0bb2431805442b36992016060a149098b216afdd67ff83fe5fbb8a8f9e2aca97

Aliases

arxiv: 2107.07216 · arxiv_version: 2107.07216v1 · doi: 10.48550/arxiv.2107.07216 · pith_short_12: BOZEGGAFIQVT · pith_short_16: BOZEGGAFIQVTNGJA · pith_short_8: BOZEGGAF

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/BOZEGGAFIQVTNGJACYDAUFEQTC \
  | 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: 0bb2431805442b36992016060a149098b216afdd67ff83fe5fbb8a8f9e2aca97

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "273ac92d3b8d349024f2b07ba51ae6ba2d48b0e2c7b4f17ef45c81793480349e",
    "cross_cats_sorted": [
      "physics.comp-ph"
    ],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2021-07-15T09:43:44Z",
    "title_canon_sha256": "aea037d4e90c56abf556bb5ad7734d763c96d9658c36d62e401394af9940356f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2107.07216",
    "kind": "arxiv",
    "version": 1
  }
}