Pith Number

pith:TTYYPK2R

pith:2020:TTYYPK2RN4E4AXT4J7RARKEY4W

not attested not anchored not stored refs pending

Explicit construction of optimal witnesses for input-output correlations attainable by quantum channels

Francesco Buscemi, Michele Dall'Arno, Sarah Brandsen

arxiv:2009.00866 v2 · 2020-09-02 · 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{TTYYPK2RN4E4AXT4J7RARKEY4W}

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	2026-07-05T02:36:45.162921Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9cf187ab516f09c05e7c4fe208a898e58b46cb645c7ad0b68d8f953c61aef03e

Aliases

arxiv: 2009.00866 · arxiv_version: 2009.00866v2 · doi: 10.48550/arxiv.2009.00866 · pith_short_12: TTYYPK2RN4E4 · pith_short_16: TTYYPK2RN4E4AXT4 · pith_short_8: TTYYPK2R

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/TTYYPK2RN4E4AXT4J7RARKEY4W \
  | 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: 9cf187ab516f09c05e7c4fe208a898e58b46cb645c7ad0b68d8f953c61aef03e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f2ba131e46138a5b990c65a83cf565a588d4f633375b7a10d7229c386bfd541e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2020-09-02T07:34:23Z",
    "title_canon_sha256": "fe3827fc3ce6afc33e195a141bab109b53186bbf81be8363cd90bc465f8749d0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2009.00866",
    "kind": "arxiv",
    "version": 2
  }
}