Pith Number

pith:7RKLCW6Y

pith:2007:7RKLCW6YQTMCCVEVPMIXB3OBC6

not attested not anchored not stored refs pending

On the spectrum of infinite dimensional random products of compact operators

Maria Carvalho, Mario Bessa

arxiv:0709.3496 v1 · 2007-09-21 · math.DS · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7RKLCW6YQTMCCVEVPMIXB3OBC6}

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	2026-05-18T04:39:59.877187Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fc54b15bd884d82154957b1170edc117aaa26b38e6ae33839035d231a94b7c3e

Aliases

arxiv: 0709.3496 · arxiv_version: 0709.3496v1 · doi: 10.48550/arxiv.0709.3496 · pith_short_12: 7RKLCW6YQTMC · pith_short_16: 7RKLCW6YQTMCCVEV · pith_short_8: 7RKLCW6Y

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/7RKLCW6YQTMCCVEVPMIXB3OBC6 \
  | 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: fc54b15bd884d82154957b1170edc117aaa26b38e6ae33839035d231a94b7c3e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dc9787503ba1d413d8c282f6068f0694172eb748ddbc3dc6acb171f3db43a9bb",
    "cross_cats_sorted": [
      "math.SP"
    ],
    "license": "",
    "primary_cat": "math.DS",
    "submitted_at": "2007-09-21T18:16:09Z",
    "title_canon_sha256": "13472406863595a4a9a4e931a4a8f79525f2f25bb73de462253d673c9f00a5cf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0709.3496",
    "kind": "arxiv",
    "version": 1
  }
}