Pith Number

pith:P6FJ3SHM

pith:2005:P6FJ3SHMIM2DHQNE2G36WEKSNK

not attested not anchored not stored refs pending

Applications of coherent classical communication and the Schur transform to quantum information theory

Aram W. Harrow

arxiv:quant-ph/0512255 v1 · 2005-12-30 · 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{P6FJ3SHMIM2DHQNE2G36WEKSNK}

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

7 papers in Pith

A Quantum Method of Types

Random Stinespring superchannel: converting channel queries into dilation isometry queries

Random dilation superchannel

Performance Guarantees for Quantum Neural Estimation of Entropies

Receipt and verification

First computed	2026-07-04T14:52:56.523732Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7f8a9dc8ec433433c1a4d1b7eb11526aba7351e73dd09ef931d89451a258726f

Aliases

arxiv: quant-ph/0512255 · arxiv_version: quant-ph/0512255v1 · doi: 10.48550/arxiv.quant-ph/0512255 · pith_short_12: P6FJ3SHMIM2D · pith_short_16: P6FJ3SHMIM2DHQNE · pith_short_8: P6FJ3SHM

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/P6FJ3SHMIM2DHQNE2G36WEKSNK \
  | 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: 7f8a9dc8ec433433c1a4d1b7eb11526aba7351e73dd09ef931d89451a258726f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "446146edd907eeddf0cc03524e5e7635f616989d9c5cdf3a0249e2291a186a69",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2005-12-30T18:47:07Z",
    "title_canon_sha256": "4d8ed826e2f569ddf2399ae7479604eb3290dd751b4606f1def067a2567aa8e2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0512255",
    "kind": "arxiv",
    "version": 1
  }
}