Pith Number

pith:3D37EIA4

pith:2016:3D37EIA4BFEPMCJVDHO7OPZ423

not attested not anchored not stored refs pending

Asymmetric Fuglede Putnam's Theorem for operators reduced by their eigenspaces

Farida Lombarkia, Mohamed Amouch

arxiv:1603.07494 v1 · 2016-03-24 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3D37EIA4BFEPMCJVDHO7OPZ423}

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	2026-05-18T01:18:20.745174Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d8f7f2201c0948f6093519ddf73f3cd6ff3100ea0838bac1ad85b31b162cdcb8

Aliases

arxiv: 1603.07494 · arxiv_version: 1603.07494v1 · doi: 10.48550/arxiv.1603.07494 · pith_short_12: 3D37EIA4BFEP · pith_short_16: 3D37EIA4BFEPMCJV · pith_short_8: 3D37EIA4

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/3D37EIA4BFEPMCJVDHO7OPZ423 \
  | 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: d8f7f2201c0948f6093519ddf73f3cd6ff3100ea0838bac1ad85b31b162cdcb8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "62aad8ac36b666b96d6b7697750a2dba80c163edbed87db115db7fc0a6076a1a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2016-03-24T09:30:37Z",
    "title_canon_sha256": "ac945b5e4cdb4df4f60ad2c115336df8d0b835f52c235f9307fa533bd4ae6402"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.07494",
    "kind": "arxiv",
    "version": 1
  }
}