Pith Number

pith:3KHJSLJ6

pith:2018:3KHJSLJ6YHFR522YDEKLBCPDQU

not attested not anchored not stored refs pending

On some modifications of n-th von Neumann-Jordan constant for banach spaces

Maciej Ciesielski, Ryszard P{\l}uciennik

arxiv:1811.01652 v1 · 2018-11-05 · 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{3KHJSLJ6YHFR522YDEKLBCPDQU}

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	2026-05-18T00:01:33.647084Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

da8e992d3ec1cb1eeb581914b089e385206485f1a535d28578b74fc2c6126ed8

Aliases

arxiv: 1811.01652 · arxiv_version: 1811.01652v1 · doi: 10.48550/arxiv.1811.01652 · pith_short_12: 3KHJSLJ6YHFR · pith_short_16: 3KHJSLJ6YHFR522Y · pith_short_8: 3KHJSLJ6

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/3KHJSLJ6YHFR522YDEKLBCPDQU \
  | 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: da8e992d3ec1cb1eeb581914b089e385206485f1a535d28578b74fc2c6126ed8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cf2c0c0dd40e41a95fb309f308dc8e6b4389e9fbfc74dd236afa1035743c36bb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2018-11-05T13:00:38Z",
    "title_canon_sha256": "a3e6db56cf9f509cf61e6da3b40844853c2a57de4ac028de378ba6a743081548"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.01652",
    "kind": "arxiv",
    "version": 1
  }
}