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Pith Number

pith:Z6RA52QA

pith:2018:Z6RA52QAMLRYEEYM4GMYZ7WDF4
not attested not anchored not stored refs pending

Momentum-Space Topological Effects of Nonreciprocity

George W. Hanson, S. Ali Hassani Gangaraj

arxiv:1806.10023 v2 · 2018-06-26 · physics.optics

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{Z6RA52QAMLRYEEYM4GMYZ7WDF4}

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 2026-05-18T00:10:36.984560Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

cfa20eea0062e382130ce1998cfec32f2b9b2f5d70fb5ad0f36f4d1eba37953e

Aliases

arxiv: 1806.10023 · arxiv_version: 1806.10023v2 · doi: 10.48550/arxiv.1806.10023 · pith_short_12: Z6RA52QAMLRY · pith_short_16: Z6RA52QAMLRYEEYM · pith_short_8: Z6RA52QA
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/Z6RA52QAMLRYEEYM4GMYZ7WDF4 \
  | 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: cfa20eea0062e382130ce1998cfec32f2b9b2f5d70fb5ad0f36f4d1eba37953e
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "91ddfd99e7fa15335cf725b9ffa391adc4e16a310e08d24982be038c5cfc2e1e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2018-06-26T14:39:01Z",
    "title_canon_sha256": "7535a7baaa6a38091aa9a523f7505cea8f43b77f9710ce7912939e794dc7b7d6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.10023",
    "kind": "arxiv",
    "version": 2
  }
}