Pith Number

pith:2IXR7LWB

pith:2025:2IXR7LWBLMSN3COZMBISQOUASS

not attested not anchored not stored refs pending

Lower Bounds on Relative Error Quantum Compression and Classical Shadows

Kaushik Sankar

arxiv:2506.21345 v1 · 2025-06-26 · quant-ph · cs.CC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2IXR7LWBLMSN3COZMBISQOUASS}

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	2026-07-05T11:27:43.992112Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d22f1faec15b24dd89d96051283a809482a5456b0a548cb04d43840eda8eb9b4

Aliases

arxiv: 2506.21345 · arxiv_version: 2506.21345v1 · doi: 10.48550/arxiv.2506.21345 · pith_short_12: 2IXR7LWBLMSN · pith_short_16: 2IXR7LWBLMSN3COZ · pith_short_8: 2IXR7LWB

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/2IXR7LWBLMSN3COZMBISQOUASS \
  | 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: d22f1faec15b24dd89d96051283a809482a5456b0a548cb04d43840eda8eb9b4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "42da9b72e7c39cd4d4a8a344ee028b9bd70bc6972f6dd2389aa1ddf417ce1f1a",
    "cross_cats_sorted": [
      "cs.CC"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2025-06-26T14:58:23Z",
    "title_canon_sha256": "ee14939cfa56c4cbbcd77568d8bbd197d4f1a1ae26da7ebf7c29167002f89076"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.21345",
    "kind": "arxiv",
    "version": 1
  }
}