Pith Number

pith:KZI357VS

pith:2000:KZI357VSCZJVDRYXFNGSCLHK6Q

not attested not anchored not stored refs pending

On the Number of Elements Needed in a POVM Attaining the Accessible Information

Peter W. Shor

arxiv:quant-ph/0009077 v1 · 2000-09-19 · 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{KZI357VSCZJVDRYXFNGSCLHK6Q}

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

1 paper in Pith

Quantum accessible information and classical entropy inequalities

Receipt and verification

First computed	2026-07-04T14:45:31.780154Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5651befeb2165351c7172b4d212ceaf4079d5249f4d23f5ceff911a907e3809e

Aliases

arxiv: quant-ph/0009077 · arxiv_version: quant-ph/0009077v1 · doi: 10.48550/arxiv.quant-ph/0009077 · pith_short_12: KZI357VSCZJV · pith_short_16: KZI357VSCZJVDRYX · pith_short_8: KZI357VS

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/KZI357VSCZJVDRYXFNGSCLHK6Q \
  | 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: 5651befeb2165351c7172b4d212ceaf4079d5249f4d23f5ceff911a907e3809e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "24397fba6235aee14c6044a929d3f1c67a3312dcb0383a3b334be2f9e6753b1a",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2000-09-19T20:16:05Z",
    "title_canon_sha256": "682ff403490e5208df387c4cff2e699ad2bbe1e8ff69e6857cc45db803924c19"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0009077",
    "kind": "arxiv",
    "version": 1
  }
}