Pith Number

pith:2NN5PCL6

pith:2010:2NN5PCL6JOP2NHJRSYI3S5RJBV

not attested not anchored not stored refs pending

Function Photonic Crystals

Bai-Jun Zhang, Guang-Huai Wang, Jing-Hai Yang, Nuo Ba, Qing-Cai Wang, Xiang-Yao Wu, Xiao-jing Liu, Yi-Heng Wu

arxiv:1011.0047 v4 · 2010-10-30 · physics.gen-ph · cond-mat.mtrl-sci · 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{2NN5PCL6JOP2NHJRSYI3S5RJBV}

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	2026-05-18T02:04:54.705052Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d35bd7897e4b9fa69d319611b976290d49780f5d781b1785a1a383ae914393c2

Aliases

arxiv: 1011.0047 · arxiv_version: 1011.0047v4 · doi: 10.48550/arxiv.1011.0047 · pith_short_12: 2NN5PCL6JOP2 · pith_short_16: 2NN5PCL6JOP2NHJR · pith_short_8: 2NN5PCL6

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/2NN5PCL6JOP2NHJRSYI3S5RJBV \
  | 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: d35bd7897e4b9fa69d319611b976290d49780f5d781b1785a1a383ae914393c2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2fb82faf6372f6e7954ac2dacf185a1c8efc09e6759817f97d520d49f54bd6fb",
    "cross_cats_sorted": [
      "cond-mat.mtrl-sci",
      "physics.optics"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.gen-ph",
    "submitted_at": "2010-10-30T07:05:02Z",
    "title_canon_sha256": "5145b51cf7a69da1cf98a6f20817a99ba290708a54256b365b520f24e563ffed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.0047",
    "kind": "arxiv",
    "version": 4
  }
}