Pith Number

pith:3ULWN3BV

pith:1998:3ULWN3BVAVKGWQIJIF5QYN4F6Q

not attested not anchored not stored refs pending

General teleportation channel, singlet fraction and quasi-distillation

Michal Horodecki, Pawel Horodecki, Ryszard Horodecki

arxiv:quant-ph/9807091 v2 · 1998-07-31 · 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{3ULWN3BVAVKGWQIJIF5QYN4F6Q}

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.

Cited by

2 papers in Pith

Pseudorandom Dynamics in the SYK Model and Cryptographic Censorship in JT Gravity

Reconstructing the unitary part of a noisy quantum channel

Receipt and verification

First computed	2026-07-04T14:47:20.769439Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dd1766ec3505546b4109417b0c3785f4045d469bc53cdc7d99f3a7cecc645f11

Aliases

arxiv: quant-ph/9807091 · arxiv_version: quant-ph/9807091v2 · doi: 10.48550/arxiv.quant-ph/9807091 · pith_short_12: 3ULWN3BVAVKG · pith_short_16: 3ULWN3BVAVKGWQIJ · pith_short_8: 3ULWN3BV

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/3ULWN3BVAVKGWQIJIF5QYN4F6Q \
  | 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: dd1766ec3505546b4109417b0c3785f4045d469bc53cdc7d99f3a7cecc645f11

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "39ab71055d326d41784454eeacf0a9b9ee3aa26db0ebc2264f42823aa45144f6",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "1998-07-31T17:02:47Z",
    "title_canon_sha256": "94d7ac04979eddc0754ed013ee6d15f5ae0442435de9c140fa25e277655aa68b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/9807091",
    "kind": "arxiv",
    "version": 2
  }
}