Pith Number

pith:BUBCV7ZQ

pith:2010:BUBCV7ZQTQ54OUEXAOENTGKJA4

not attested not anchored not stored refs pending

Every Banach ideal of polynomials is compatible with an operator ideal

Daniel Carando, Santiago Muro, Ver\'onica Dimant

arxiv:1009.1064 v1 · 2010-09-06 · 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{BUBCV7ZQTQ54OUEXAOENTGKJA4}

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	2026-05-18T04:04:17.213440Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0d022aff309c3bc750970388d99949072d0785777b9eaafa3f518c0f0f121a90

Aliases

arxiv: 1009.1064 · arxiv_version: 1009.1064v1 · doi: 10.48550/arxiv.1009.1064 · pith_short_12: BUBCV7ZQTQ54 · pith_short_16: BUBCV7ZQTQ54OUEX · pith_short_8: BUBCV7ZQ

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/BUBCV7ZQTQ54OUEXAOENTGKJA4 \
  | 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: 0d022aff309c3bc750970388d99949072d0785777b9eaafa3f518c0f0f121a90

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "82b87c9064349fa41a142caf188f91dbad1f8c3c61497c9d2f5ff635c8ac078c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2010-09-06T14:02:58Z",
    "title_canon_sha256": "7312190563804f831a4c50a16337ef9f41af6cffb132898a285e95fb483a6634"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.1064",
    "kind": "arxiv",
    "version": 1
  }
}