Pith Number

pith:M435L4YL

pith:2016:M435L4YL6A2R7ROAYCVXV5M6SS

not attested not anchored not stored refs pending

Essential norms of Volterra and Ces\`aro operators on M\"untz spaces

Fares Maalouf, Georges Habib, Ihab Al Alam, Pascal Lef\`evre

arxiv:1612.03218 v1 · 2016-12-09 · 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{M435L4YL6A2R7ROAYCVXV5M6SS}

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	2026-05-18T00:55:19.933915Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6737d5f30bf0351fc5c0c0ab7af59e94ab71f1e6042ac09fe49ada91833834ce

Aliases

arxiv: 1612.03218 · arxiv_version: 1612.03218v1 · doi: 10.48550/arxiv.1612.03218 · pith_short_12: M435L4YL6A2R · pith_short_16: M435L4YL6A2R7ROA · pith_short_8: M435L4YL

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/M435L4YL6A2R7ROAYCVXV5M6SS \
  | 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: 6737d5f30bf0351fc5c0c0ab7af59e94ab71f1e6042ac09fe49ada91833834ce

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "26235f63b20a6f4a0c78d50a3e0967d04c11616675dbb8cedfa59fa0755be66f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2016-12-09T23:40:04Z",
    "title_canon_sha256": "9fb660007e5454d6817b15eb600e8052501b7aa4ff8b616f1ef590fdcace2514"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.03218",
    "kind": "arxiv",
    "version": 1
  }
}