Pith Number

pith:ZBHZIHKN

pith:2019:ZBHZIHKN6ECRJBUIMLKC22IHVV

not attested not anchored not stored refs pending

Octahedral norms in duals and biduals of Lipschitz-free spaces

Abraham Rueda Zoca, Johann Langemets

arxiv:1905.09061 v2 · 2019-05-22 · 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{ZBHZIHKN6ECRJBUIMLKC22IHVV}

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.

Cited by

1 paper in Pith

Characterisation of the weak-star symmetric strong diameter 2 property in Lipschitz spaces

Receipt and verification

First computed	2026-07-05T00:50:35.944013Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c84f941d4df10514868862d42d6907ad70db7cda3c4aa60240973c5203cb2f2a

Aliases

arxiv: 1905.09061 · arxiv_version: 1905.09061v2 · doi: 10.48550/arxiv.1905.09061 · pith_short_12: ZBHZIHKN6ECR · pith_short_16: ZBHZIHKN6ECRJBUI · pith_short_8: ZBHZIHKN

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/ZBHZIHKN6ECRJBUIMLKC22IHVV \
  | 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: c84f941d4df10514868862d42d6907ad70db7cda3c4aa60240973c5203cb2f2a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0278678535472c111bb267d09c09be3ac560ae3dee0f88eeeded3a778dd1f349",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2019-05-22T10:47:06Z",
    "title_canon_sha256": "0df20f4e355ef2a94c67ba6365783ac80a029431427efc81dfda81fb98ca1882"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.09061",
    "kind": "arxiv",
    "version": 2
  }
}