Pith Number

pith:YC2Q6MIS

pith:2016:YC2Q6MISEUSGRQTWKYVFLP6IOD

not attested not anchored not stored refs pending

Diametral strong diameter two property of Banach spaces is stable under direct sums with 1-norm

Katriin Pirk, M\"art P\~oldvere, Rainis Haller

arxiv:1603.08082 v1 · 2016-03-26 · 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{YC2Q6MISEUSGRQTWKYVFLP6IOD}

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	2026-05-18T01:18:13.355384Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c0b50f3112252468c276562a55bfc870d0f11a99e81748877c61f28bfe123d35

Aliases

arxiv: 1603.08082 · arxiv_version: 1603.08082v1 · doi: 10.48550/arxiv.1603.08082 · pith_short_12: YC2Q6MISEUSG · pith_short_16: YC2Q6MISEUSGRQTW · pith_short_8: YC2Q6MIS

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/YC2Q6MISEUSGRQTWKYVFLP6IOD \
  | 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: c0b50f3112252468c276562a55bfc870d0f11a99e81748877c61f28bfe123d35

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "47a217ec6ce38402cccb56424a8bde393a945843675a9a7fa5015be818594ac8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2016-03-26T07:26:06Z",
    "title_canon_sha256": "dc7659f741967e1ffa9a23b05d3cbc0d60fa36adfed036f73f9895961682bcb0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.08082",
    "kind": "arxiv",
    "version": 1
  }
}