Pith Number

pith:DFKRWIU4

pith:2018:DFKRWIU4TOFSILTJW4RE4LLHFE

not attested not anchored not stored refs pending

Mixed-state localization operators: Cohen's class and trace class operators

Eirik Skrettingland, Franz Luef

arxiv:1802.02435 v2 · 2018-02-07 · math.FA · 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{DFKRWIU4TOFSILTJW4RE4LLHFE}

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	2026-05-18T00:03:17.205476Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

19551b229c9b8b242e69b7224e2d67292df2e43fc436142ced04074154a10e95

Aliases

arxiv: 1802.02435 · arxiv_version: 1802.02435v2 · doi: 10.48550/arxiv.1802.02435 · pith_short_12: DFKRWIU4TOFS · pith_short_16: DFKRWIU4TOFSILTJ · pith_short_8: DFKRWIU4

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/DFKRWIU4TOFSILTJW4RE4LLHFE \
  | 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: 19551b229c9b8b242e69b7224e2d67292df2e43fc436142ced04074154a10e95

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b360ae36efa0e4c4202d65370a1dbf2b3d5f1f0fb6e90cce1853002fc271fd35",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2018-02-07T14:35:46Z",
    "title_canon_sha256": "86e678cbb3171d580d3812c3cb20b6907f495432a80ece9caa5d782d602b194f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.02435",
    "kind": "arxiv",
    "version": 2
  }
}