Pith Number

pith:I4RBGTDI

pith:2011:I4RBGTDIW677356QBVY5I355TQ

not attested not anchored not stored refs pending

On the closed subideals of $L(\ell_p\oplus\ell_q)$

Thomas Schlumprecht

arxiv:1105.3610 v2 · 2011-05-18 · 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{I4RBGTDIW677356QBVY5I355TQ}

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	2026-05-18T04:21:22.085361Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4722134c68b7bffdf7d00d71d46fbd9c00df9caa50a870db2e77e6519ea7fd22

Aliases

arxiv: 1105.3610 · arxiv_version: 1105.3610v2 · doi: 10.48550/arxiv.1105.3610 · pith_short_12: I4RBGTDIW677 · pith_short_16: I4RBGTDIW677356Q · pith_short_8: I4RBGTDI

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/I4RBGTDIW677356QBVY5I355TQ \
  | 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: 4722134c68b7bffdf7d00d71d46fbd9c00df9caa50a870db2e77e6519ea7fd22

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ca60e850e2c8586661a240985634388bc29f502f5b4064d20765718ceaf100b0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2011-05-18T12:44:26Z",
    "title_canon_sha256": "39783b33a48f83e311d7da231557e097a35d20461f6909514946ef9cd4880de3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.3610",
    "kind": "arxiv",
    "version": 2
  }
}