Pith Number

pith:JZG4GUGY

pith:2011:JZG4GUGYORDNLZRRGUSACQG2LE

not attested not anchored not stored refs pending

The ideal of p-compact operators: a tensor product approach

Daniel Galicer, Pablo Turco, Silvia Lassalle

arxiv:1110.3251 v1 · 2011-10-14 · 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{JZG4GUGYORDNLZRRGUSACQG2LE}

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	2026-05-18T03:39:41.924502Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4e4dc350d87446d5e63135240140da5922711c46f96b1619404783e1abb8e0f3

Aliases

arxiv: 1110.3251 · arxiv_version: 1110.3251v1 · doi: 10.48550/arxiv.1110.3251 · pith_short_12: JZG4GUGYORDN · pith_short_16: JZG4GUGYORDNLZRR · pith_short_8: JZG4GUGY

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/JZG4GUGYORDNLZRRGUSACQG2LE \
  | 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: 4e4dc350d87446d5e63135240140da5922711c46f96b1619404783e1abb8e0f3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "04a800783057bff672204d14f6e2d78a92df6aeb8a975cda99b8cebc5cf60f68",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2011-10-14T15:34:17Z",
    "title_canon_sha256": "765f9d55405ef82aabc7c98276b4923e8c568a16bd2de98c1413452ac547c7c8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.3251",
    "kind": "arxiv",
    "version": 1
  }
}