Pith Number

pith:B6IG5TB7

pith:2013:B6IG5TB7YWKOSDYDK3POVAANNP

not attested not anchored not stored refs pending

Subnormal weighted shifts on directed trees and composition operators in $L^2$ spaces with non-densely defined powers

Jan Stochel, Piotr Budzynski, Piotr Dymek, Zenon Jan Jablonski

arxiv:1309.0689 v1 · 2013-09-03 · 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{B6IG5TB7YWKOSDYDK3POVAANNP}

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	2026-05-18T03:14:18.318505Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0f906ecc3fc594e90f0356deea800d6bde06d5178bc995bf2d0a13dab9cd1d1d

Aliases

arxiv: 1309.0689 · arxiv_version: 1309.0689v1 · doi: 10.48550/arxiv.1309.0689 · pith_short_12: B6IG5TB7YWKO · pith_short_16: B6IG5TB7YWKOSDYD · pith_short_8: B6IG5TB7

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/B6IG5TB7YWKOSDYDK3POVAANNP \
  | 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: 0f906ecc3fc594e90f0356deea800d6bde06d5178bc995bf2d0a13dab9cd1d1d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "029691e9db5f47b6e63452593c3300bb7c9e29a9172919d532c092d2c18c4e64",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2013-09-03T14:16:23Z",
    "title_canon_sha256": "341cfce665e7a2487b307e8e19a443ddddcd39091f28bbb4ac3c517391292c13"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.0689",
    "kind": "arxiv",
    "version": 1
  }
}