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Pith Number

pith:TXNDBNI3

pith:2016:TXNDBNI3WIAMBY3U7OHOV5FLKV
not attested not anchored not stored refs pending

Multilayer optical calculations

Steven J. Byrnes

arxiv:1603.02720 v5 · 2016-03-06 · physics.comp-ph · physics.optics

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{TXNDBNI3WIAMBY3U7OHOV5FLKV}

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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.

Cited by

5 papers in Pith

Receipt and verification
First computed 2026-07-05T02:03:13.061028Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

9dda30b51bb200c0e374fb8eeaf4ab556edec02d73f98394d584987b8d084177

Aliases

arxiv: 1603.02720 · arxiv_version: 1603.02720v5 · doi: 10.48550/arxiv.1603.02720 · pith_short_12: TXNDBNI3WIAM · pith_short_16: TXNDBNI3WIAMBY3U · pith_short_8: TXNDBNI3
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/TXNDBNI3WIAMBY3U7OHOV5FLKV \
  | 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: 9dda30b51bb200c0e374fb8eeaf4ab556edec02d73f98394d584987b8d084177
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "d8c845d6cafe159beaeb0ec5f1f822d3e0d097ae8ff0a84a5c37665f709664d2",
    "cross_cats_sorted": [
      "physics.optics"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.comp-ph",
    "submitted_at": "2016-03-06T02:09:50Z",
    "title_canon_sha256": "bc37fbfae02fa156bc8b32d6f296c02b52ec73b8c7cafeb230f6ceb3e8a07b85"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.02720",
    "kind": "arxiv",
    "version": 5
  }
}