Pith Number

pith:X62MD5ZF

pith:2003:X62MD5ZFDPIMO6RBUVB2BGQ5NQ

not attested not anchored not stored refs pending

Unconditionally convergent series of operators and narrow operators on $L_1$

Dirk Werner, Nigel Kalton, Vladimir Kadets

arxiv:math/0311324 v1 · 2003-11-19 · 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{X62MD5ZFDPIMO6RBUVB2BGQ5NQ}

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	2026-05-18T04:26:44.086046Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bfb4c1f7251bd0c77a21a543a09a1d6c2702e36d97c6452d57d9ed797b95a781

Aliases

arxiv: math/0311324 · arxiv_version: math/0311324v1 · doi: 10.48550/arxiv.math/0311324 · pith_short_12: X62MD5ZFDPIM · pith_short_16: X62MD5ZFDPIMO6RB · pith_short_8: X62MD5ZF

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/X62MD5ZFDPIMO6RBUVB2BGQ5NQ \
  | 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: bfb4c1f7251bd0c77a21a543a09a1d6c2702e36d97c6452d57d9ed797b95a781

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f744b72e8bc0f952df4db9cafbcda19265f081a89e851baa280c0205ec83b7f6",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.FA",
    "submitted_at": "2003-11-19T11:13:37Z",
    "title_canon_sha256": "f4427853bdd655425a43560de2fe155fc362e1dc7ca74826d84b0f17c30ecfb2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0311324",
    "kind": "arxiv",
    "version": 1
  }
}