Pith Number

pith:PQVEWV72

pith:2012:PQVEWV72ZEWJS7RVN64BFLV4WA

not attested not anchored not stored refs pending

Geometry-Controlled Nonlinear Optical Response of Quantum Graphs

Mark G. Kuzyk, Rick Lytel, Shoresh Shafei

arxiv:1208.2086 v3 · 2012-08-10 · physics.optics · quant-ph

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PQVEWV72ZEWJS7RVN64BFLV4WA}

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	2026-05-18T01:55:16.977132Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7c2a4b57fac92c997e356fb812aebcb00e19c868ecd4d25da453b2ed83f5ebe1

Aliases

arxiv: 1208.2086 · arxiv_version: 1208.2086v3 · doi: 10.48550/arxiv.1208.2086 · pith_short_12: PQVEWV72ZEWJ · pith_short_16: PQVEWV72ZEWJS7RV · pith_short_8: PQVEWV72

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/PQVEWV72ZEWJS7RVN64BFLV4WA \
  | 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: 7c2a4b57fac92c997e356fb812aebcb00e19c868ecd4d25da453b2ed83f5ebe1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f5a17562f4161ec0586ec3637b6f2af93e7986b9760d8474e026c9d7828404f7",
    "cross_cats_sorted": [
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2012-08-10T05:09:57Z",
    "title_canon_sha256": "39297a2c396f33a3bf943790ff9e643b739620d95e648166d40edfbc37e0a5ba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.2086",
    "kind": "arxiv",
    "version": 3
  }
}