Pith Number

pith:H677DWHE

pith:2026:H677DWHESJYSTG6RU53GZGKE43

not attested not anchored not stored refs pending

Pre-Channel Entanglement Shaping Achieves Fundamental Superiority over Post-Distillation: A Geometric Entropy Perspective

Gang Lyu, Hua Nan, Wenlong Sun, Yuanfeng Jin

arxiv:2605.16463 v1 · 2026-05-15 · quant-ph · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{H677DWHESJYSTG6RU53GZGKE43}

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.

Cited by

1 paper in Pith

Pre-Channel Entanglement Shaping Achieves Fundamental Superiority over Post-Distillation: A Geometric Entropy Perspective

Receipt and verification

First computed	2026-05-20T00:02:23.360094Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3fbff1d8e49271299bd1a7766c9944e6dd7d63d08f941aaeb5feaa3b9e245f15

Aliases

arxiv: 2605.16463 · arxiv_version: 2605.16463v1 · doi: 10.48550/arxiv.2605.16463 · pith_short_12: H677DWHESJYS · pith_short_16: H677DWHESJYSTG6R · pith_short_8: H677DWHE

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/H677DWHESJYSTG6RU53GZGKE43 \
  | 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: 3fbff1d8e49271299bd1a7766c9944e6dd7d63d08f941aaeb5feaa3b9e245f15

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "08b13f759ecc060b2fa95756e643e6eb808f606fdd5929c92bfb900c4b572fc6",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-05-15T08:42:31Z",
    "title_canon_sha256": "7ef534ac4ce2c7036f4199046fce3fd3fa18ac24192941bb54219d03114e99cf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.16463",
    "kind": "arxiv",
    "version": 1
  }
}