Pith Number

pith:5MXGAR3Z

pith:2016:5MXGAR3Z5YGRHIQJRT6IBK5J5Z

not attested not anchored not stored refs pending

Non-Hermitian engineering of single mode two dimensional laser arrays

Demetrios N. Christodoulides, Li Ge, Mohammad H. Teimourpour, Ramy El-Ganainy

arxiv:1608.04618 v2 · 2016-08-16 · 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{5MXGAR3Z5YGRHIQJRT6IBK5J5Z}

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	2026-05-18T00:51:33.983933Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eb2e604779ee0d13a2098cfc80aba9ee60a6578a15748ef6adb46e3906309135

Aliases

arxiv: 1608.04618 · arxiv_version: 1608.04618v2 · doi: 10.48550/arxiv.1608.04618 · pith_short_12: 5MXGAR3Z5YGR · pith_short_16: 5MXGAR3Z5YGRHIQJ · pith_short_8: 5MXGAR3Z

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/5MXGAR3Z5YGRHIQJRT6IBK5J5Z \
  | 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: eb2e604779ee0d13a2098cfc80aba9ee60a6578a15748ef6adb46e3906309135

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1231ce64269e911c32ffab5ebc43625ada9d5496c5835c990f5820eacac417cd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2016-08-16T14:35:19Z",
    "title_canon_sha256": "291f10d0073a65de9280bcbc62cecd5f7052a771ef69165fbdf6c276aef07c16"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.04618",
    "kind": "arxiv",
    "version": 2
  }
}