Pith Number

pith:J2MJYYD6

pith:2020:J2MJYYD6WCNMYJKTNUSD6QP35K

not attested not anchored not stored refs pending

Communication Cost of Quantum Processes

Giulio Chiribella, Masahito Hayashi, Yuxiang Yang

arxiv:2002.06840 v3 · 2020-02-17 · 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{J2MJYYD6WCNMYJKTNUSD6QP35K}

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	2026-07-05T01:46:00.233559Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4e989c607eb09acc25536d243f41fbea8d7b2e38de0e9a5b2c611431743bc031

Aliases

arxiv: 2002.06840 · arxiv_version: 2002.06840v3 · doi: 10.48550/arxiv.2002.06840 · pith_short_12: J2MJYYD6WCNM · pith_short_16: J2MJYYD6WCNMYJKT · pith_short_8: J2MJYYD6

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/J2MJYYD6WCNMYJKTNUSD6QP35K \
  | 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: 4e989c607eb09acc25536d243f41fbea8d7b2e38de0e9a5b2c611431743bc031

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "789033f615e8d62f6c8d7e33a815153301a08848afc07271e7b7af29e32306f2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2020-02-17T08:51:42Z",
    "title_canon_sha256": "981620ceb4f0ffec1de47f15048515da7815716a6ca9d1e9fc15d0a68243cc47"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2002.06840",
    "kind": "arxiv",
    "version": 3
  }
}