Pith Number

pith:M3E6LJ4Z

pith:2003:M3E6LJ4Z4PAO6WPBNJCEE6TCDF

not attested not anchored not stored refs pending

A note on fixed points of completely positive maps

Gert K. Pedersen

arxiv:math/0308053 v1 · 2003-08-06 · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{M3E6LJ4Z4PAO6WPBNJCEE6TCDF}

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	2026-07-04T14:37:38.783109Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

66c9e5a799e3c0ef59e16a44427a62196bec299bce76fdeecfabe313437942d7

Aliases

arxiv: math/0308053 · arxiv_version: math/0308053v1 · doi: 10.48550/arxiv.math/0308053 · pith_short_12: M3E6LJ4Z4PAO · pith_short_16: M3E6LJ4Z4PAO6WPB · pith_short_8: M3E6LJ4Z

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/M3E6LJ4Z4PAO6WPBNJCEE6TCDF \
  | 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: 66c9e5a799e3c0ef59e16a44427a62196bec299bce76fdeecfabe313437942d7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1b0be114e42b3fef834a1c41203fa37d618a01a1c6ee6c9b1c8beb0d2c12e6de",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.OA",
    "submitted_at": "2003-08-06T12:28:31Z",
    "title_canon_sha256": "44df5ff7e5c866bb1fe74fa28a1b58e13273b8cece6f9863e1532aa1b30bf676"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0308053",
    "kind": "arxiv",
    "version": 1
  }
}