Pith Number

pith:3Y7WTAUT

pith:2026:3Y7WTAUTDCK34QZOWAVNM7UBND

not attested not anchored not stored refs pending

Fractality-induced photonic topological insulators

Cristiane Morais Smith, Lumen Eek, Shuming Zhang, Zhaoju Yang, Zhaoxin Wu

arxiv:2606.23505 v1 · 2026-06-22 · physics.optics

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3Y7WTAUTDCK34QZOWAVNM7UBND}

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	2026-06-23T03:14:21.800216Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

de3f6982931895be432eb02ad67e8168f4cb76a2c83343e239686b94904c1e63

Aliases

arxiv: 2606.23505 · arxiv_version: 2606.23505v1 · doi: 10.48550/arxiv.2606.23505 · pith_short_12: 3Y7WTAUTDCK3 · pith_short_16: 3Y7WTAUTDCK34QZO · pith_short_8: 3Y7WTAUT

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/3Y7WTAUTDCK34QZOWAVNM7UBND \
  | 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: de3f6982931895be432eb02ad67e8168f4cb76a2c83343e239686b94904c1e63

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a10e60b314f3bfaea0967f120085589a37066efdbd91c8c07c09e27a2e4b3f30",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2026-06-22T15:53:40Z",
    "title_canon_sha256": "ea9ece32c67507c6bb5232619daee598329174a0932d6b1a7ca3a05c3088d67d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.23505",
    "kind": "arxiv",
    "version": 1
  }
}