Pith Number

pith:TX3IU4J7

pith:2017:TX3IU4J7ZGTEJRM3XFC2L7PJFT

not attested not anchored not stored refs pending

Majorization and the time complexity of linear optical networks

Joonsuk Huh, Seungbeom Chin

arxiv:1710.05551 v3 · 2017-10-16 · quant-ph · physics.comp-ph · 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{TX3IU4J7ZGTEJRM3XFC2L7PJFT}

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	2026-05-17T23:45:53.400574Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9df68a713fc9a644c59bb945a5fde92cf6d16e2ca024dbc144695798eb62a488

Aliases

arxiv: 1710.05551 · arxiv_version: 1710.05551v3 · doi: 10.48550/arxiv.1710.05551 · pith_short_12: TX3IU4J7ZGTE · pith_short_16: TX3IU4J7ZGTEJRM3 · pith_short_8: TX3IU4J7

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/TX3IU4J7ZGTEJRM3XFC2L7PJFT \
  | 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: 9df68a713fc9a644c59bb945a5fde92cf6d16e2ca024dbc144695798eb62a488

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "caf4c9e34a721884ddef2dd3223076b7295fb4303b377c377feea8ff310b6f82",
    "cross_cats_sorted": [
      "physics.comp-ph",
      "physics.optics"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2017-10-16T08:06:49Z",
    "title_canon_sha256": "e4a085e19667fb3876536c01dbbd406b8b592f6805b1a3fd8cec5b4d5a5cbef0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.05551",
    "kind": "arxiv",
    "version": 3
  }
}