Pith Number

pith:WICY4VHG

pith:2016:WICY4VHGMR6POUZMPUKHCCC2MS

not attested not anchored not stored refs pending

Composition operators on the discrete analogue of generalized Hardy space on homogenous trees

Perumal Muthukumar, Saminathan Ponnusamy

arxiv:1609.09729 v1 · 2016-09-30 · 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{WICY4VHGMR6POUZMPUKHCCC2MS}

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	2026-05-18T01:03:33.568074Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b2058e54e6647cf7532c7d1471085a649ebbb88538c1a494552e15527e88d6f4

Aliases

arxiv: 1609.09729 · arxiv_version: 1609.09729v1 · doi: 10.48550/arxiv.1609.09729 · pith_short_12: WICY4VHGMR6P · pith_short_16: WICY4VHGMR6POUZM · pith_short_8: WICY4VHG

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/WICY4VHGMR6POUZMPUKHCCC2MS \
  | 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: b2058e54e6647cf7532c7d1471085a649ebbb88538c1a494552e15527e88d6f4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "30de2bfcf4aee9b08206f1bfae415994fb3a065d517bc5780447efc23b6c428e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2016-09-30T13:45:20Z",
    "title_canon_sha256": "e03443daf139da309b95dce3acc23b1b29d31a7751a6a23a9fa3647706a374da"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.09729",
    "kind": "arxiv",
    "version": 1
  }
}