Pith Number

pith:A3CAKJKV

pith:2023:A3CAKJKVRBTBHWIQ2RTYSKRGVZ

not attested not anchored not stored refs pending

Quantum Analog of Shannon's Lower Bound Theorem

Laxmi Parida, Saugata Basu

arxiv:2308.13091 v1 · 2023-08-24 · 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{A3CAKJKVRBTBHWIQ2RTYSKRGVZ}

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

Counting Martingales for Measure and Dimension in Complexity Classes

Receipt and verification

First computed	2026-07-05T06:44:38.499869Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

06c4052555886613d910d467892a26ae678cbe967b86b1428b28bbd8bc507139

Aliases

arxiv: 2308.13091 · arxiv_version: 2308.13091v1 · doi: 10.48550/arxiv.2308.13091 · pith_short_12: A3CAKJKVRBTB · pith_short_16: A3CAKJKVRBTBHWIQ · pith_short_8: A3CAKJKV

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/A3CAKJKVRBTBHWIQ2RTYSKRGVZ \
  | 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: 06c4052555886613d910d467892a26ae678cbe967b86b1428b28bbd8bc507139

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d1295fc32352ed1ad89e79ae35628edf49cda15e8883360fc80a0755b6a83a56",
    "cross_cats_sorted": [
      "cs.CC"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2023-08-24T21:31:40Z",
    "title_canon_sha256": "b0047aca359789f4d0b87dda134f3309006b69b47e16d27d5ab0a535cec1f3e2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2308.13091",
    "kind": "arxiv",
    "version": 1
  }
}