Pith Number

pith:UIX24P5O

pith:2018:UIX24P5OOW3ISD5IXUTOKPILWG

not attested not anchored not stored refs pending

The non-compact normed space of norms on a finite-dimensional Banach space

Apoorva Khare

arxiv:1810.06188 v4 · 2018-10-15 · math.MG · math.CT · 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{UIX24P5OOW3ISD5IXUTOKPILWG}

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	2026-05-18T00:01:52.743879Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a22fae3fae75b6890fa8bd26e53d0bb1a7f07fd9572194aeee790e66d4a7eaec

Aliases

arxiv: 1810.06188 · arxiv_version: 1810.06188v4 · doi: 10.48550/arxiv.1810.06188 · pith_short_12: UIX24P5OOW3I · pith_short_16: UIX24P5OOW3ISD5I · pith_short_8: UIX24P5O

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/UIX24P5OOW3ISD5IXUTOKPILWG \
  | 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: a22fae3fae75b6890fa8bd26e53d0bb1a7f07fd9572194aeee790e66d4a7eaec

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5067e88baf084bc2f7f9a87bd332e6e730fbf32c84a106523a3d0c23e38b9935",
    "cross_cats_sorted": [
      "math.CT",
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2018-10-15T05:41:06Z",
    "title_canon_sha256": "bc780e78cfbc548bcf152aa09eed9d62b0c2f034772ccea2cd58bd96b6d25795"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.06188",
    "kind": "arxiv",
    "version": 4
  }
}