Pith Number

pith:D23XDJWH

pith:2017:D23XDJWHCHQHFYXDY4WCJ4KGEA

not attested not anchored not stored refs pending

$\Gamma$-flatness and Bishop-Phelps-Bollob\'as type theorems for operators

Antonio J. Guirao, Bernardo Cascales, Mariia Soloviova, Vladimir Kadets

arxiv:1704.01768 v1 · 2017-04-06 · 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{D23XDJWHCHQHFYXDY4WCJ4KGEA}

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	2026-05-18T00:46:54.382222Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1eb771a6c711e072e2e3c72c24f14620297cfa3b75d2935b873418355833e677

Aliases

arxiv: 1704.01768 · arxiv_version: 1704.01768v1 · doi: 10.48550/arxiv.1704.01768 · pith_short_12: D23XDJWHCHQH · pith_short_16: D23XDJWHCHQHFYXD · pith_short_8: D23XDJWH

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/D23XDJWHCHQHFYXDY4WCJ4KGEA \
  | 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: 1eb771a6c711e072e2e3c72c24f14620297cfa3b75d2935b873418355833e677

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8466e952b8a3537814c0163b84b8baf00d9b60000cf0e4cc2727caa5d552ede3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2017-04-06T10:05:35Z",
    "title_canon_sha256": "64edbd2e4f884a664d26bd42f769e77c3a024f02eaf5909fbd092eb260df5fee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1704.01768",
    "kind": "arxiv",
    "version": 1
  }
}