Pith Number

pith:ZTZD7YTP

pith:2011:ZTZD7YTP73ONBRTOCGVPRCJTMU

not attested not anchored not stored refs pending

On some new theorems on multipliers in harmonic function spaces in higher dimension II

Milo\v{s} Arsenovi\'c, Romi F. Shamoyan

arxiv:1107.2460 v2 · 2011-07-13 · math.CV · 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{ZTZD7YTP73ONBRTOCGVPRCJTMU}

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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	2026-05-18T03:13:22.097699Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ccf23fe26ffedcd0c66e11aaf889336516fb9bce869611b21ef63113bcc78a08

Aliases

arxiv: 1107.2460 · arxiv_version: 1107.2460v2 · doi: 10.48550/arxiv.1107.2460 · pith_short_12: ZTZD7YTP73ON · pith_short_16: ZTZD7YTP73ONBRTO · pith_short_8: ZTZD7YTP

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/ZTZD7YTP73ONBRTOCGVPRCJTMU \
  | 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: ccf23fe26ffedcd0c66e11aaf889336516fb9bce869611b21ef63113bcc78a08

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "721639efa33a615b8457c06dbccf052ba9bc0e90a22651ee47c0e1da226c3a7d",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2011-07-13T03:53:30Z",
    "title_canon_sha256": "8e950f787a73a2f7ce16de037aa01d53f12d512346cbfd5a31a2c6281692be51"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.2460",
    "kind": "arxiv",
    "version": 2
  }
}