Pith Number

pith:G6HVBW2J

pith:2016:G6HVBW2J6E77HMGRRKIFIJIDZO

not attested not anchored not stored refs pending

Energy-constrained private and quantum capacities of quantum channels

Haoyu Qi, Mark M. Wilde

arxiv:1609.01997 v2 · 2016-09-07 · 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{G6HVBW2J6E77HMGRRKIFIJIDZO}

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	2026-05-18T00:00:13.786903Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

378f50db49f13ff3b0d18a90542503cb88d5c9c9814086515ab15ad2f15ccf1d

Aliases

arxiv: 1609.01997 · arxiv_version: 1609.01997v2 · doi: 10.48550/arxiv.1609.01997 · pith_short_12: G6HVBW2J6E77 · pith_short_16: G6HVBW2J6E77HMGR · pith_short_8: G6HVBW2J

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/G6HVBW2J6E77HMGRRKIFIJIDZO \
  | 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: 378f50db49f13ff3b0d18a90542503cb88d5c9c9814086515ab15ad2f15ccf1d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eaab9acc90d010f0ea00f3c3dee8ea23aa0de6bd854dfc10c6849f5b432caafa",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2016-09-07T14:35:32Z",
    "title_canon_sha256": "011075e1e2098370d29d4274759433a1d188ed9f8894565d270d57e2b9636807"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.01997",
    "kind": "arxiv",
    "version": 2
  }
}