Pith Number

pith:XMIXBUTQ

pith:2008:XMIXBUTQ2DR4YYFUA465ZR7WXH

not attested not anchored not stored refs pending

Spaces of operator-valued functions measurable with respect to the strong operator topology

Jan van Neerven, Oscar Blasco

arxiv:0811.2284 v2 · 2008-11-14 · 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{XMIXBUTQ2DR4YYFUA465ZR7WXH}

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	2026-07-04T15:40:26.064654Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bb1170d270d0e3cc60b4073ddcc7f6b9e53a120c8e565f4af0fdeb701a0bfbe9

Aliases

arxiv: 0811.2284 · arxiv_version: 0811.2284v2 · doi: 10.48550/arxiv.0811.2284 · pith_short_12: XMIXBUTQ2DR4 · pith_short_16: XMIXBUTQ2DR4YYFU · pith_short_8: XMIXBUTQ

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/XMIXBUTQ2DR4YYFUA465ZR7WXH \
  | 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: bb1170d270d0e3cc60b4073ddcc7f6b9e53a120c8e565f4af0fdeb701a0bfbe9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "df8fca766e7a9b81764c1e3a950b9c32810c10416a0a766f94065e153a594161",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2008-11-14T12:06:46Z",
    "title_canon_sha256": "92e128d93742f73014731411273ef9663f5ad282e5b1deedde116183f8df8db1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0811.2284",
    "kind": "arxiv",
    "version": 2
  }
}