Pith Number

pith:UX2KYB57

pith:2011:UX2KYB5742J53LIZ2NOZPNXPND

not attested not anchored not stored refs pending

Symmetry breaking and manipulation of nonlinear optical modes in an asymmetric double-channel waveguide

Fei Lv, Lu Li, Rujiang Li, Zhiyong Xu

arxiv:1109.6525 v1 · 2011-09-29 · 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{UX2KYB5742J53LIZ2NOZPNXPND}

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	2026-05-18T02:00:02.902659Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a5f4ac07bfe693ddad19d35d97b6ef68c32d00044005281146175e3af8f44d3f

Aliases

arxiv: 1109.6525 · arxiv_version: 1109.6525v1 · doi: 10.48550/arxiv.1109.6525 · pith_short_12: UX2KYB5742J5 · pith_short_16: UX2KYB5742J53LIZ · pith_short_8: UX2KYB57

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/UX2KYB5742J53LIZ2NOZPNXPND \
  | 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: a5f4ac07bfe693ddad19d35d97b6ef68c32d00044005281146175e3af8f44d3f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d778654e5705e17f6e47544df1f7e74560eb4ecf9fc43d044b0863c07267ef59",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2011-09-29T13:46:18Z",
    "title_canon_sha256": "b0ef6dad12d5480c0b7603fd5fba190e408ae1a89cacfcda3cdd91db8c18c473"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.6525",
    "kind": "arxiv",
    "version": 1
  }
}