Pith Number

pith:ICEAJQ6B

pith:2026:ICEAJQ6BDG227PJLBE2JK4SLTB

not attested not anchored not stored refs pending

Existence of Kraus decomposition in infinite dimension via strongly-convergent direct process tomography

Paul E. Lammert

arxiv:2608.07207 v1 · 2026-08-07 · 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{ICEAJQ6BDG227PJLBE2JK4SLTB}

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	2026-08-10T01:14:38.263890Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

408804c3c119b5afbd2b093495724b9873de61b467e02797a902b1a8b7f3f9a4

Aliases

arxiv: 2608.07207 · arxiv_version: 2608.07207v1 · doi: 10.48550/arxiv.2608.07207 · pith_short_12: ICEAJQ6BDG22 · pith_short_16: ICEAJQ6BDG227PJL · pith_short_8: ICEAJQ6B

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/ICEAJQ6BDG227PJLBE2JK4SLTB \
  | 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: 408804c3c119b5afbd2b093495724b9873de61b467e02797a902b1a8b7f3f9a4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7b9a217cec989ad77554f241749425491c8b995fa0a2cc59665bf9e9be096de4",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-08-07T13:19:58Z",
    "title_canon_sha256": "09911e083088cb85dfee0629b600a9a24077e2205853717faa8513a15b2131ac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.07207",
    "kind": "arxiv",
    "version": 1
  }
}