Pith Number

pith:CHB2EUBL

pith:2001:CHB2EUBLF4TUEJ5K2B44L6HWXB

not attested not anchored not stored refs pending

Additivity for a class of unital qubit channels

C. King

arxiv:quant-ph/0103156 v2 · 2001-03-28 · 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{CHB2EUBLF4TUEJ5K2B44L6HWXB}

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	2026-05-18T01:38:02.779283Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

11c3a2502b2f274227aad079c5f8f6b849a3723cee642b73608de416a6f93acb

Aliases

arxiv: quant-ph/0103156 · arxiv_version: quant-ph/0103156v2 · doi: 10.48550/arxiv.quant-ph/0103156 · pith_short_12: CHB2EUBLF4TU · pith_short_16: CHB2EUBLF4TUEJ5K · pith_short_8: CHB2EUBL

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/CHB2EUBLF4TUEJ5K2B44L6HWXB \
  | 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: 11c3a2502b2f274227aad079c5f8f6b849a3723cee642b73608de416a6f93acb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8564926612ffe1b2837c98fbf6020db01a3243956826487ba4c4d04411d63dd9",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2001-03-28T21:38:23Z",
    "title_canon_sha256": "77b5d9fa64e3636dfd8cd25e1c76cd768c3b76d62dd01ce557974709948efb58"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0103156",
    "kind": "arxiv",
    "version": 2
  }
}