Pith Number

pith:DGE5YWVL

pith:2009:DGE5YWVLB35UJGDKOJCVCW445I

not attested not anchored not stored refs pending

Resolutions of Hilbert Modules and Similarity

Ciprian Foias, Jaydeb Sarkar, Ronald G. Douglas

arxiv:0907.2487 v5 · 2009-07-15 · math.FA · math.CV · 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{DGE5YWVLB35UJGDKOJCVCW445I}

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	2026-05-18T04:40:32.890822Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1989dc5aab0efb44986a7245515b9cea1db7f6a2674740a1a95e59e4eaeaf2f7

Aliases

arxiv: 0907.2487 · arxiv_version: 0907.2487v5 · doi: 10.48550/arxiv.0907.2487 · pith_short_12: DGE5YWVLB35U · pith_short_16: DGE5YWVLB35UJGDK · pith_short_8: DGE5YWVL

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/DGE5YWVLB35UJGDKOJCVCW445I \
  | 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: 1989dc5aab0efb44986a7245515b9cea1db7f6a2674740a1a95e59e4eaeaf2f7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "86adc2ae67ceec8c62e6089453afb9a753d422af7f07f11e8072908d389c9215",
    "cross_cats_sorted": [
      "math.CV",
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2009-07-15T03:36:35Z",
    "title_canon_sha256": "299cb71c3bbbf5a077f6715531e01b616cbb9d8b78a2bd0e242bbe2c6e09dce6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0907.2487",
    "kind": "arxiv",
    "version": 5
  }
}