Pith Number

pith:QTQF7KMT

pith:2016:QTQF7KMTCMQ47TUKU7QV2IJINM

not attested not anchored not stored refs pending

The Nonlinear Analytical Envelope Equation in quadratic nonlinear crystals

Morten Bache

arxiv:1603.00188 v1 · 2016-03-01 · 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{QTQF7KMTCMQ47TUKU7QV2IJINM}

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	2026-05-18T01:19:49.035634Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

84e05fa9931321cfce8aa7e15d21286b3203ef8980a1ccc8b729a96d039e0270

Aliases

arxiv: 1603.00188 · arxiv_version: 1603.00188v1 · doi: 10.48550/arxiv.1603.00188 · pith_short_12: QTQF7KMTCMQ4 · pith_short_16: QTQF7KMTCMQ47TUK · pith_short_8: QTQF7KMT

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/QTQF7KMTCMQ47TUKU7QV2IJINM \
  | 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: 84e05fa9931321cfce8aa7e15d21286b3203ef8980a1ccc8b729a96d039e0270

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "17ee49d4686594b474d99aceab41cd17fea54ce850be6db48a0d63a4a3d88d0c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2016-03-01T08:57:16Z",
    "title_canon_sha256": "7e4ce295dffd376c1c846f149fd0228a405f6817bbe6c7e02dd26cb1c1ec2400"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.00188",
    "kind": "arxiv",
    "version": 1
  }
}