Pith Number

pith:34VFA74X

pith:2026:34VFA74XOMFE355LQE5ZSEW3TT

not attested not anchored not stored refs pending

Quantum conditional mutual information and channel capacity

D.-S. Wang

arxiv:2606.25264 v1 · 2026-06-24 · 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{34VFA74XOMFE355LQE5ZSEW3TT}

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	2026-06-25T00:18:22.446038Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

df2a507f97730a4df7ab813b9912db9cd34f0e73c15156a3328f2defe2d2a632

Aliases

arxiv: 2606.25264 · arxiv_version: 2606.25264v1 · doi: 10.48550/arxiv.2606.25264 · pith_short_12: 34VFA74XOMFE · pith_short_16: 34VFA74XOMFE355L · pith_short_8: 34VFA74X

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/34VFA74XOMFE355LQE5ZSEW3TT \
  | 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: df2a507f97730a4df7ab813b9912db9cd34f0e73c15156a3328f2defe2d2a632

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1d45495123887b1ddd0b042b5e9c36e3add95e1da0647e0a10de85867fe8109c",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-06-24T01:01:57Z",
    "title_canon_sha256": "e82a874ecfb7166d66dc0681e44f32205d752788b3d9ce7c7943f6f1b2a1b33a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.25264",
    "kind": "arxiv",
    "version": 1
  }
}