Pith Number

pith:WQ5LNGM6

pith:2019:WQ5LNGM66VLRIJSEVJJDLJZB3Y

not attested not anchored not stored refs pending

$L$-orthogonality, octahedrality and Daugavet property in Banach spaces

Abraham Rueda Zoca, Gin\'es L\'opez-P\'erez

arxiv:1912.09039 v2 · 2019-12-19 · 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{WQ5LNGM66VLRIJSEVJJDLJZB3Y}

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	2026-07-05T01:36:27.585570Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b43ab6999ef557142644aa5235a721de288069196ea8a4f25d32af44879eb413

Aliases

arxiv: 1912.09039 · arxiv_version: 1912.09039v2 · doi: 10.48550/arxiv.1912.09039 · pith_short_12: WQ5LNGM66VLR · pith_short_16: WQ5LNGM66VLRIJSE · pith_short_8: WQ5LNGM6

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/WQ5LNGM66VLRIJSEVJJDLJZB3Y \
  | 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: b43ab6999ef557142644aa5235a721de288069196ea8a4f25d32af44879eb413

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "55180ead14cbebf01b3c3fd9b13ccc85ce64c9175a2318a4702a3934f1f78c6c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2019-12-19T07:08:21Z",
    "title_canon_sha256": "83b4f3b91a9a2a15e61de22f6d207a5a38c3516d8d42480ea8fe21d0a71a97a6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1912.09039",
    "kind": "arxiv",
    "version": 2
  }
}