Pith Number

pith:PAMHU7AH

pith:2013:PAMHU7AH4J3VZRMZJVSXWQ7SZ3

not attested not anchored not stored refs pending

Ideals of operators on $(\oplus \ell^\infty(n))_{\ell^1}$

Denny H. Leung

arxiv:1310.7352 v1 · 2013-10-28 · 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{PAMHU7AH4J3VZRMZJVSXWQ7SZ3}

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	2026-05-18T03:08:45.603649Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

78187a7c07e2775cc5994d657b43f2cec8ac5057db5e3d2d05f4bf4920a419d8

Aliases

arxiv: 1310.7352 · arxiv_version: 1310.7352v1 · doi: 10.48550/arxiv.1310.7352 · pith_short_12: PAMHU7AH4J3V · pith_short_16: PAMHU7AH4J3VZRMZ · pith_short_8: PAMHU7AH

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/PAMHU7AH4J3VZRMZJVSXWQ7SZ3 \
  | 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: 78187a7c07e2775cc5994d657b43f2cec8ac5057db5e3d2d05f4bf4920a419d8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9c5834e1e3230bca75f0b5e5fbf5541e19f631862f878b822f45c09a0c38eec9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2013-10-28T09:33:29Z",
    "title_canon_sha256": "232f0d0290605c976e8fb8efa56e09f15fca69458185c5da0b894c6cb58689d8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.7352",
    "kind": "arxiv",
    "version": 1
  }
}