Pith Number

pith:Q2D3BMPL

pith:2013:Q2D3BMPLMY7SCRGT6CNATPAZ3D

not attested not anchored not stored refs pending

Spectral Radius Inequalities for Functions of Operators Defined by Power Series

S.S. Dragomir

arxiv:1302.2803 v1 · 2013-02-11 · 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{Q2D3BMPLMY7SCRGT6CNATPAZ3D}

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	2026-05-18T03:33:50.783572Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8687b0b1eb663f2144d3f09a09bc19d8f7ffc1da8fab8f491513691e5fbea4c9

Aliases

arxiv: 1302.2803 · arxiv_version: 1302.2803v1 · doi: 10.48550/arxiv.1302.2803 · pith_short_12: Q2D3BMPLMY7S · pith_short_16: Q2D3BMPLMY7SCRGT · pith_short_8: Q2D3BMPL

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/Q2D3BMPLMY7SCRGT6CNATPAZ3D \
  | 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: 8687b0b1eb663f2144d3f09a09bc19d8f7ffc1da8fab8f491513691e5fbea4c9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8d45928de75a6ff219c8b1132d911711587a1d4a2d83d91d69cd90465d1190d9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2013-02-11T02:41:22Z",
    "title_canon_sha256": "55ab4986b2155b963f205115ff2ccc77e41f539c0f28b7b593a60a1a44c57bbf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.2803",
    "kind": "arxiv",
    "version": 1
  }
}