Pith Number

pith:LF3IYK5E

pith:2025:LF3IYK5EOZBJVK5XZTA2PQF6FC

not attested not anchored not stored refs pending

Multiple-order differential imaging based on two types of topological singularity in one dimensional photonic crystals

Haoran Zhang

arxiv:2506.01026 v1 · 2025-06-01 · 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{LF3IYK5EOZBJVK5XZTA2PQF6FC}

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	2026-07-05T11:13:44.711060Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

59768c2ba476429aabb7ccc1a7c0be2897bdc4560a430acda6b495ad59a11225

Aliases

arxiv: 2506.01026 · arxiv_version: 2506.01026v1 · doi: 10.48550/arxiv.2506.01026 · pith_short_12: LF3IYK5EOZBJ · pith_short_16: LF3IYK5EOZBJVK5X · pith_short_8: LF3IYK5E

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/LF3IYK5EOZBJVK5XZTA2PQF6FC \
  | 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: 59768c2ba476429aabb7ccc1a7c0be2897bdc4560a430acda6b495ad59a11225

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "87eb3328e5449f67375c65ff41d2a4e3260117e22f9588528d1fb65ce7cec49b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2025-06-01T14:10:51Z",
    "title_canon_sha256": "3f76456821d4055ba8982c6daf21211be4d9d3c68b1beee0620e935178f2dcaa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.01026",
    "kind": "arxiv",
    "version": 1
  }
}