Pith Number

pith:4E7TOPHK

pith:2006:4E7TOPHKZELNTDJ22NS2H573HA

not attested not anchored not stored refs pending

Quantum broadcast channels

Igor Devetak, Jon Yard, Patrick Hayden

arxiv:quant-ph/0603098 v2 · 2006-03-10 · quant-ph · cs.IT · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4E7TOPHKZELNTDJ22NS2H573HA}

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	2026-05-18T04:10:23.958398Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e13f373ceac916d98d3ad365a3f7fb383c9933214cb6d6999af41d40b4c92d19

Aliases

arxiv: quant-ph/0603098 · arxiv_version: quant-ph/0603098v2 · doi: 10.48550/arxiv.quant-ph/0603098 · pith_short_12: 4E7TOPHKZELN · pith_short_16: 4E7TOPHKZELNTDJ2 · pith_short_8: 4E7TOPHK

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/4E7TOPHKZELNTDJ22NS2H573HA \
  | 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: e13f373ceac916d98d3ad365a3f7fb383c9933214cb6d6999af41d40b4c92d19

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ef50cfd4fbaaa9fe0ab573f2d23218100e998f2591a223b08c6c0906796cb0a0",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2006-03-10T20:30:37Z",
    "title_canon_sha256": "717449fbfe638bcaf6d1fc42ce4c7b908a80bf91bbdc1123952f50a388506e5d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0603098",
    "kind": "arxiv",
    "version": 2
  }
}