Pith Number

pith:MYQEV7KL

pith:2012:MYQEV7KLBDDYFZVLDIHU7Z4FQI

not attested not anchored not stored refs pending

Symmetric and asymmetric localized modes in linear lattices with an embedded pair of $\chi ^{(2)}$-nonlinear sites

B. A. Malomed, V. A. Brazhnyi

arxiv:1207.2091 v1 · 2012-07-09 · nlin.PS · 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{MYQEV7KLBDDYFZVLDIHU7Z4FQI}

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	2026-05-18T03:18:26.781674Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

66204afd4b08c782e6ab1a0f4fe785820ee536674034604bdea3229ec7533c95

Aliases

arxiv: 1207.2091 · arxiv_version: 1207.2091v1 · doi: 10.48550/arxiv.1207.2091 · pith_short_12: MYQEV7KLBDDY · pith_short_16: MYQEV7KLBDDYFZVL · pith_short_8: MYQEV7KL

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/MYQEV7KLBDDYFZVLDIHU7Z4FQI \
  | 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: 66204afd4b08c782e6ab1a0f4fe785820ee536674034604bdea3229ec7533c95

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e30885b2ebaaaa91b1e9d5a7e89f490b11e25749222c1c9b53004ccd35b24c7b",
    "cross_cats_sorted": [
      "physics.optics"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.PS",
    "submitted_at": "2012-07-09T16:23:57Z",
    "title_canon_sha256": "4477c7940a75b63147839a77c489ccbda36aa0a2b4d1439d45f2491b708b9731"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.2091",
    "kind": "arxiv",
    "version": 1
  }
}