Pith Number

pith:UE4QN755

pith:2016:UE4QN755RO4DGV7UNJEDXGPX5Z

not attested not anchored not stored refs pending

Two-dimensional function photonic crystals

Ji Ma, Xiang-Yao Wu, Xiao-jing Liu, Yu Liang

arxiv:1601.04163 v1 · 2016-01-16 · 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{UE4QN755RO4DGV7UNJEDXGPX5Z}

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	2026-05-18T01:22:45.755482Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a13906ffbd8bb83357f46a483b99f7ee529b5419b38e574c026776a9cf3c089b

Aliases

arxiv: 1601.04163 · arxiv_version: 1601.04163v1 · doi: 10.48550/arxiv.1601.04163 · pith_short_12: UE4QN755RO4D · pith_short_16: UE4QN755RO4DGV7U · pith_short_8: UE4QN755

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/UE4QN755RO4DGV7UNJEDXGPX5Z \
  | 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: a13906ffbd8bb83357f46a483b99f7ee529b5419b38e574c026776a9cf3c089b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d30eff238576766764eaa53ac82c72e26c0ba80792ce6678c27334bc27b971e9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2016-01-16T13:54:41Z",
    "title_canon_sha256": "115801761e8f5ea95df7505bc52424cca31cc5d8153cb6fcc659dae7a437dda1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.04163",
    "kind": "arxiv",
    "version": 1
  }
}