Pith Number

pith:QIU2DKRW

pith:2011:QIU2DKRWGYJ7ABK2A2H4KHLO5A

not attested not anchored not stored refs pending

Unbounded subnormal weighted shifts on directed trees

Il Bong Jung, Jan Stochel, Piotr Budzynski, Zenon Jan Jablonski

arxiv:1105.3641 v1 · 2011-05-18 · 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{QIU2DKRWGYJ7ABK2A2H4KHLO5A}

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	2026-05-18T04:21:52.190660Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8229a1aa363613f0055a068fc51d6ee82b5859b01b2440cd6b768b6f8dce4180

Aliases

arxiv: 1105.3641 · arxiv_version: 1105.3641v1 · doi: 10.48550/arxiv.1105.3641 · pith_short_12: QIU2DKRWGYJ7 · pith_short_16: QIU2DKRWGYJ7ABK2 · pith_short_8: QIU2DKRW

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/QIU2DKRWGYJ7ABK2A2H4KHLO5A \
  | 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: 8229a1aa363613f0055a068fc51d6ee82b5859b01b2440cd6b768b6f8dce4180

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f6349b1616d63a327d3901e6bd0c3c692ad6735a9d79d1835b558b61ee3b9c6d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2011-05-18T14:17:34Z",
    "title_canon_sha256": "7585985d969a5a17273fa5046114c143e5947d8af4aa46554be016a2bb20355e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.3641",
    "kind": "arxiv",
    "version": 1
  }
}