Pith Number

pith:OHL4L2I3

pith:2001:OHL4L2I352QXYHMZOJLBLYHEJR

not attested not anchored not stored refs pending

Rearrangement Invariant Norms of Symmetric Sequence Norms of Independent Sequences of Random Variables

Stephen Montgomery-Smith

arxiv:math/0106114 v5 · 2001-06-13 · math.PR · 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{OHL4L2I352QXYHMZOJLBLYHEJR}

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	2026-05-18T03:21:55.082003Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

71d7c5e91beea17c1d99725615e0e44c7617629c9fdf3ba31a00b08ea8c1e72d

Aliases

arxiv: math/0106114 · arxiv_version: math/0106114v5 · doi: 10.48550/arxiv.math/0106114 · pith_short_12: OHL4L2I352QX · pith_short_16: OHL4L2I352QXYHMZ · pith_short_8: OHL4L2I3

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/OHL4L2I352QXYHMZOJLBLYHEJR \
  | 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: 71d7c5e91beea17c1d99725615e0e44c7617629c9fdf3ba31a00b08ea8c1e72d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4bd25fea76ee64998da0d9b96a8b03f5bde373744bac257971718db7740ca128",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "",
    "primary_cat": "math.PR",
    "submitted_at": "2001-06-13T17:54:59Z",
    "title_canon_sha256": "e5a361781ac44506793c1197e4a7781ee3b708488eaca48fff6724cf035db7e2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0106114",
    "kind": "arxiv",
    "version": 5
  }
}