Pith Number

pith:44D56J7B

pith:2006:44D56J7B6EHGHN77W4QCVFWGC5

not attested not anchored not stored refs pending

Contractivity of positive and trace preserving maps under $L_p$ norms

David Perez-Garcia, Denes Petz, Mary Beth Ruskai, Michael M. Wolf

arxiv:math-ph/0601063 v1 · 2006-01-30 · math-ph · math.MP · 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{44D56J7B6EHGHN77W4QCVFWGC5}

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	2026-05-18T01:38:32.961078Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e707df27e1f10e63b7ffb7202a96c617403d0b068508e1f4f963c99b4a879cae

Aliases

arxiv: math-ph/0601063 · arxiv_version: math-ph/0601063v1 · doi: 10.48550/arxiv.math-ph/0601063 · pith_short_12: 44D56J7B6EHG · pith_short_16: 44D56J7B6EHGHN77 · pith_short_8: 44D56J7B

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/44D56J7B6EHGHN77W4QCVFWGC5 \
  | 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: e707df27e1f10e63b7ffb7202a96c617403d0b068508e1f4f963c99b4a879cae

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f2e0ca829fb1e76783e127f22d5cbdce175b8b52679da3abe70a629dfd686105",
    "cross_cats_sorted": [
      "math.MP",
      "quant-ph"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2006-01-30T12:09:28Z",
    "title_canon_sha256": "eb178378e59b6e460a7053c16639b588d4117d2731397f689b136a067510287e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0601063",
    "kind": "arxiv",
    "version": 1
  }
}