Pith Number

pith:GHENXIC4

pith:2016:GHENXIC4VIJRZK4PX3E5MPPXZQ

not attested not anchored not stored refs pending

Classical capacities of quantum channels with environment assistance

Andreas Winter, Dong Yang, Siddharth Karumanchi, Stefano Mancini

arxiv:1602.02036 v2 · 2016-02-05 · quant-ph · cs.IT · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GHENXIC4VIJRZK4PX3E5MPPXZQ}

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	2026-05-18T01:01:36.018518Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

31c8dba05caa131cab8fbec9d63df7cc085a226ef9a278718c5df08c89257a99

Aliases

arxiv: 1602.02036 · arxiv_version: 1602.02036v2 · doi: 10.48550/arxiv.1602.02036 · pith_short_12: GHENXIC4VIJR · pith_short_16: GHENXIC4VIJRZK4P · pith_short_8: GHENXIC4

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/GHENXIC4VIJRZK4PX3E5MPPXZQ \
  | 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: 31c8dba05caa131cab8fbec9d63df7cc085a226ef9a278718c5df08c89257a99

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f4a45a871b567a90bce6b5b75256660f7ef754ec0bc179d7bf8e98cc7e2b2b77",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2016-02-05T14:29:29Z",
    "title_canon_sha256": "1360b49a78015fd1aa76f5fa496ea48195973fc904f16097586a6943ef4e6691"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.02036",
    "kind": "arxiv",
    "version": 2
  }
}