pith. sign in
Pith Number

pith:ZIPQPCCI

pith:2010:ZIPQPCCIDF45Y6V6PNDPSET3AY
not attested not anchored not stored refs pending

Anti-mirror effect: A perfect lens brings a brighter feature

Huanyang Chen, Lei Gao, Shengwang Du, Yadong Xu

arxiv:1011.0542 v1 · 2010-11-02 · physics.optics · cond-mat.mtrl-sci · physics.class-ph

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{ZIPQPCCIDF45Y6V6PNDPSET3AY}

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 2026-05-18T04:22:40.205396Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

ca1f0788481979dc7abe7b46f9127b061555bcd34bd42ed453cec173a8acf33c

Aliases

arxiv: 1011.0542 · arxiv_version: 1011.0542v1 · doi: 10.48550/arxiv.1011.0542 · pith_short_12: ZIPQPCCIDF45 · pith_short_16: ZIPQPCCIDF45Y6V6 · pith_short_8: ZIPQPCCI
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/ZIPQPCCIDF45Y6V6PNDPSET3AY \
  | 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: ca1f0788481979dc7abe7b46f9127b061555bcd34bd42ed453cec173a8acf33c
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "77d6d9fdf5846eaba651594b73665b65f81fbbabc2a4e58af8c23568c7e5b74c",
    "cross_cats_sorted": [
      "cond-mat.mtrl-sci",
      "physics.class-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2010-11-02T08:44:49Z",
    "title_canon_sha256": "7913dfb162596fdb63da1257816da6b483b74a8bf2d71d82d637e82e636b72bc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.0542",
    "kind": "arxiv",
    "version": 1
  }
}