Pith Number

pith:QXGPWBNI

pith:2015:QXGPWBNIFFEJKCUDLB7JJLDBV3

not attested not anchored not stored refs pending

Universality of beamsplitters

Adam Sawicki

arxiv:1507.08255 v3 · 2015-07-29 · quant-ph · math-ph · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QXGPWBNIFFEJKCUDLB7JJLDBV3}

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	2026-05-18T01:22:48.262014Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

85ccfb05a82948950a83587e94ac61aec492626422a7cfaebd0e85e467109f5c

Aliases

arxiv: 1507.08255 · arxiv_version: 1507.08255v3 · doi: 10.48550/arxiv.1507.08255 · pith_short_12: QXGPWBNIFFEJ · pith_short_16: QXGPWBNIFFEJKCUD · pith_short_8: QXGPWBNI

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/QXGPWBNIFFEJKCUDLB7JJLDBV3 \
  | 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: 85ccfb05a82948950a83587e94ac61aec492626422a7cfaebd0e85e467109f5c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fb9e4b6ef08ed8040767a184b16c50bf4ba74a698fe316e8fa028c18d792d576",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2015-07-29T18:40:41Z",
    "title_canon_sha256": "ef30ae5378a53edc9c3871cfd0d8ebf963e064536c2d5fd7a875921072cb0d57"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.08255",
    "kind": "arxiv",
    "version": 3
  }
}