Pith Number

pith:XP6IFQSH

pith:2008:XP6IFQSHRFNHOABHAGPAC53CUS

not attested not anchored not stored refs pending

On extremal positive maps acting between type I factors

Marcin Marciniak

arxiv:0812.2311 v3 · 2008-12-12 · math.OA · math.FA · 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{XP6IFQSHRFNHOABHAGPAC53CUS}

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	2026-05-18T02:49:46.351789Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bbfc82c247895a770027019e017762a4a12ef8b2aa35423007d5b559ae57e00a

Aliases

arxiv: 0812.2311 · arxiv_version: 0812.2311v3 · doi: 10.48550/arxiv.0812.2311 · pith_short_12: XP6IFQSHRFNH · pith_short_16: XP6IFQSHRFNHOABH · pith_short_8: XP6IFQSH

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/XP6IFQSHRFNHOABHAGPAC53CUS \
  | 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: bbfc82c247895a770027019e017762a4a12ef8b2aa35423007d5b559ae57e00a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b30f3968c278b2573da33f26e285c1dde3eb023ed6a9ee781a87dfd0149ee8ff",
    "cross_cats_sorted": [
      "math.FA",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2008-12-12T08:09:33Z",
    "title_canon_sha256": "284f1d02a19028d3943622c49b938ad072239226b23617062578871b447c344a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0812.2311",
    "kind": "arxiv",
    "version": 3
  }
}