Pith Number

pith:RP7DJCSZ

pith:2019:RP7DJCSZ5GVAXCSHPAONUK3CY7

not attested not anchored not stored refs pending

Strong subdifferentiability and local Bishop-Phelps-Bollob\'as properties

Han Ju Lee, Martin Mazzitelli, Sheldon Dantas, Sun Kwang Kim

arxiv:1905.08483 v1 · 2019-05-21 · 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{RP7DJCSZ5GVAXCSHPAONUK3CY7}

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	2026-05-17T23:45:43.106014Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8bfe348a59e9aa0b8a47781cda2b62c7da3f0bc108fa5d66ccfa672839f94d72

Aliases

arxiv: 1905.08483 · arxiv_version: 1905.08483v1 · doi: 10.48550/arxiv.1905.08483 · pith_short_12: RP7DJCSZ5GVA · pith_short_16: RP7DJCSZ5GVAXCSH · pith_short_8: RP7DJCSZ

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/RP7DJCSZ5GVAXCSHPAONUK3CY7 \
  | 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: 8bfe348a59e9aa0b8a47781cda2b62c7da3f0bc108fa5d66ccfa672839f94d72

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "27d21680cd186dfe1626876c8d3b3f8cb96a546b202ab69c3309f488f86ac7d6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2019-05-21T08:21:42Z",
    "title_canon_sha256": "702ea967390fdf9baf61ce2a00152c26ffbbab25a994dda1a71fbc3d7a4aeb0b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.08483",
    "kind": "arxiv",
    "version": 1
  }
}