Pith Number

pith:U3GJNPCQ

pith:2008:U3GJNPCQ3WHG54OOH5F3PKURNC

not attested not anchored not stored refs pending

Unital Quantum Channels - Convex Structure and Revivals of Birkhoff's Theorem

Christian B. Mendl, Michael M. Wolf

arxiv:0806.2820 v1 · 2008-06-17 · quant-ph · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{U3GJNPCQ3WHG54OOH5F3PKURNC}

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	2026-05-18T02:46:22.963464Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a6cc96bc50dd8e6ef1ce3f4bb7aa9168b2652fa4fc04cf070ce408ed47c5c52d

Aliases

arxiv: 0806.2820 · arxiv_version: 0806.2820v1 · doi: 10.48550/arxiv.0806.2820 · pith_short_12: U3GJNPCQ3WHG · pith_short_16: U3GJNPCQ3WHG54OO · pith_short_8: U3GJNPCQ

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/U3GJNPCQ3WHG54OOH5F3PKURNC \
  | 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: a6cc96bc50dd8e6ef1ce3f4bb7aa9168b2652fa4fc04cf070ce408ed47c5c52d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "98dd0086fe469108e2a32810ad8c5e2883e0aa29b885446f2f41d0b864b6132d",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2008-06-17T15:27:57Z",
    "title_canon_sha256": "31840a77bf9bc178c4257d270bc31b453fa7799db49374b1d39c369abec8c100"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0806.2820",
    "kind": "arxiv",
    "version": 1
  }
}