Pith Number

pith:U5KJCDDB

pith:2019:U5KJCDDBK32GHW7ZKRURUI5YGU

not attested not anchored not stored refs pending

Symmetry-based analytical solutions to the \chi^{(2)} nonlinear directional coupler

David Barral, Juan Ariel Levenson, Kamel Bencheikh, Nadia Belabas, Peter J. Olver

arxiv:1901.04897 v2 · 2019-01-15 · physics.optics · nlin.SI · 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{U5KJCDDBK32GHW7ZKRURUI5YGU}

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	2026-05-17T23:47:58.471215Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a754910c6156f463dbf954691a23b835284242f05e1693844f5f264918a72286

Aliases

arxiv: 1901.04897 · arxiv_version: 1901.04897v2 · doi: 10.48550/arxiv.1901.04897 · pith_short_12: U5KJCDDBK32G · pith_short_16: U5KJCDDBK32GHW7Z · pith_short_8: U5KJCDDB

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/U5KJCDDBK32GHW7ZKRURUI5YGU \
  | 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: a754910c6156f463dbf954691a23b835284242f05e1693844f5f264918a72286

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "968a46bdd6725526eb29c32a387881e8a23625188c97367b629255a074a1eb16",
    "cross_cats_sorted": [
      "nlin.SI",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2019-01-15T16:07:37Z",
    "title_canon_sha256": "ed812a245e2f342dc0b8ea5cd1d3d0e915ed7f8e6edb687158c4f0654f0ccda9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.04897",
    "kind": "arxiv",
    "version": 2
  }
}