Pith Number

pith:5EVZFMFS

pith:1995:5EVZFMFSNAWDSY3KJKFTC6XED3

not attested not anchored not stored refs pending

Bounds for Approximation in Total Variation Distance by Quantum Circuits

E. Knill

arxiv:quant-ph/9508007 v1 · 1995-08-08 · quant-ph · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5EVZFMFSNAWDSY3KJKFTC6XED3}

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	2026-07-04T15:09:12.073116Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e92b92b0b2682c39636a4a8b317ae41ef21d7bd5cf08a693d114d783a08db9d9

Aliases

arxiv: quant-ph/9508007 · arxiv_version: quant-ph/9508007v1 · doi: 10.48550/arxiv.quant-ph/9508007 · pith_short_12: 5EVZFMFSNAWD · pith_short_16: 5EVZFMFSNAWDSY3K · pith_short_8: 5EVZFMFS

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/5EVZFMFSNAWDSY3KJKFTC6XED3 \
  | 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: e92b92b0b2682c39636a4a8b317ae41ef21d7bd5cf08a693d114d783a08db9d9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "931b05bd7231b388f88f26a161cfc1502fb20363fd8cd442f23c2b0f753cb783",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "1995-08-08T23:33:25Z",
    "title_canon_sha256": "2e9169d7a7750a74a673f9d7474e3b63eced6cf5010eda75bb979dad3949e4b5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/9508007",
    "kind": "arxiv",
    "version": 1
  }
}