Pith Number

pith:4E2GRFUJ

pith:2016:4E2GRFUJIMBWAPBB7QRWJBQ2UW

not attested not anchored not stored refs pending

Multipolar nonlinear nanophotonics

Daria Smirnova, Yuri S. Kivshar

arxiv:1609.02057 v1 · 2016-09-07 · 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{4E2GRFUJIMBWAPBB7QRWJBQ2UW}

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	2026-05-18T01:01:30.846201Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e1346896894303603c21fc2364861aa58c588d839973a3ab46a85c638264f765

Aliases

arxiv: 1609.02057 · arxiv_version: 1609.02057v1 · doi: 10.48550/arxiv.1609.02057 · pith_short_12: 4E2GRFUJIMBW · pith_short_16: 4E2GRFUJIMBWAPBB · pith_short_8: 4E2GRFUJ

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/4E2GRFUJIMBWAPBB7QRWJBQ2UW \
  | 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: e1346896894303603c21fc2364861aa58c588d839973a3ab46a85c638264f765

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cd62af76914f3c7273b0de5672f3f91a7854c3a5448b27435895a71a24f88f08",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2016-09-07T16:35:43Z",
    "title_canon_sha256": "0b04be5b51c431b877d5e911085d7dd6a036859e751133abc0c0084d9227f665"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.02057",
    "kind": "arxiv",
    "version": 1
  }
}