Pith Number

pith:WFHYDHI5

pith:2004:WFHYDHI5MSBXBO7YPJVYIU5V2O

not attested not anchored not stored refs pending

Unbounded operators on Banach spaces over the quaternion field

S.V. Ludkovsky

arxiv:math/0404444 v1 · 2004-04-24 · math.OA · math.SP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WFHYDHI5MSBXBO7YPJVYIU5V2O}

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	2026-05-17T23:58:08.994282Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b14f819d1d648370bbf87a6b8453b5d395506483a5c8ec8ea867cfedf754f55d

Aliases

arxiv: math/0404444 · arxiv_version: math/0404444v1 · doi: 10.48550/arxiv.math/0404444 · pith_short_12: WFHYDHI5MSBX · pith_short_16: WFHYDHI5MSBXBO7Y · pith_short_8: WFHYDHI5

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/WFHYDHI5MSBXBO7YPJVYIU5V2O \
  | 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: b14f819d1d648370bbf87a6b8453b5d395506483a5c8ec8ea867cfedf754f55d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "85905edbb5da79f068d62ce1015c0eae8a12a20dff4b2ae9f3f9769d5de1c192",
    "cross_cats_sorted": [
      "math.SP"
    ],
    "license": "",
    "primary_cat": "math.OA",
    "submitted_at": "2004-04-24T16:09:47Z",
    "title_canon_sha256": "c6a1eb1d71bdca3c8957a99c2e3f786b312be9f2cf6c9c5c6de94795d11ea65e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0404444",
    "kind": "arxiv",
    "version": 1
  }
}