Pith Number

pith:UJB7SJRG

pith:2016:UJB7SJRGKLSWF2YHCLUY4NPMWI

not attested not anchored not stored refs pending

Witnessing random unitary and projective quantum channels: Complementarity between separable and maximally entangled states

D. Bruns, J. Sperling, S. Scheel

arxiv:1601.04817 v2 · 2016-01-19 · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UJB7SJRGKLSWF2YHCLUY4NPMWI}

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	2026-05-18T01:17:55.147731Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a243f9262652e562eb0712e98e35ecb21c465159141e29dd0b1fe1527d2ecd2e

Aliases

arxiv: 1601.04817 · arxiv_version: 1601.04817v2 · doi: 10.48550/arxiv.1601.04817 · pith_short_12: UJB7SJRGKLSW · pith_short_16: UJB7SJRGKLSWF2YH · pith_short_8: UJB7SJRG

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/UJB7SJRGKLSWF2YHCLUY4NPMWI \
  | 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: a243f9262652e562eb0712e98e35ecb21c465159141e29dd0b1fe1527d2ecd2e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0881bc61462b793e5b545464185745c32d449800ae41b5685fc57050a64b95ce",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2016-01-19T08:11:54Z",
    "title_canon_sha256": "a24b32537316823d3a6f9c030bb9d4cfd9cf087772b51a574b3f43a0f20b34a2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.04817",
    "kind": "arxiv",
    "version": 2
  }
}