Pith Number

pith:A2KBJL3N

pith:2010:A2KBJL3NUXP56UZ4N4CY2HG6MN

not attested not anchored not stored refs pending

Zitterbewegung-like effect near the Dirac point in metamaterials and photonic crystals

Dianyuan Fan, Hailu Luo, Huimin Dong, Shuangchun Wen, Xiaohui Ling, Zhaoming Luo, Zhixiang Tang

arxiv:1010.4602 v2 · 2010-10-22 · 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{A2KBJL3NUXP56UZ4N4CY2HG6MN}

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	2026-05-18T04:38:39.243203Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

069414af6da5dfdf533c6f058d1cde635bbe03990cb19f75989eb2a269b1227b

Aliases

arxiv: 1010.4602 · arxiv_version: 1010.4602v2 · doi: 10.48550/arxiv.1010.4602 · pith_short_12: A2KBJL3NUXP5 · pith_short_16: A2KBJL3NUXP56UZ4 · pith_short_8: A2KBJL3N

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/A2KBJL3NUXP56UZ4N4CY2HG6MN \
  | 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: 069414af6da5dfdf533c6f058d1cde635bbe03990cb19f75989eb2a269b1227b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e34cce8a16dab52121952efb807da5e4d571c752fee32bea245b975ca36b1a05",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2010-10-22T01:07:32Z",
    "title_canon_sha256": "0424dbf9216287fa22947c3c84ecebcdd8f728677ae1e1002f86d3b7aecdfa1c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.4602",
    "kind": "arxiv",
    "version": 2
  }
}