Pith Number

pith:O7MW4M3B

pith:2014:O7MW4M3BJY5QLDTFNFITKYIFUU

not attested not anchored not stored refs pending

Weaker relatives of the bounded approximation property for a Banach operator ideal

Eve Oja, Pablo Turco, Silvia Lassalle

arxiv:1410.5670 v2 · 2014-10-21 · 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{O7MW4M3BJY5QLDTFNFITKYIFUU}

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	2026-05-18T01:35:40.108347Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

77d96e33614e3b058e656951356105a51c0419939f1ffbde9141aa99e991a4db

Aliases

arxiv: 1410.5670 · arxiv_version: 1410.5670v2 · doi: 10.48550/arxiv.1410.5670 · pith_short_12: O7MW4M3BJY5Q · pith_short_16: O7MW4M3BJY5QLDTF · pith_short_8: O7MW4M3B

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/O7MW4M3BJY5QLDTFNFITKYIFUU \
  | 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: 77d96e33614e3b058e656951356105a51c0419939f1ffbde9141aa99e991a4db

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6785413515ff82fd2fb5c8f11bc11f5de3d2c099387df07f3d5014f0b2cc60a1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2014-10-21T14:11:57Z",
    "title_canon_sha256": "d780ac4fdb2166bf79cc16c7d65ed062b814684735defff341246d2785d4393f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.5670",
    "kind": "arxiv",
    "version": 2
  }
}