Pith Number

pith:Y6Z4KDNB

pith:2012:Y6Z4KDNBRMKQJQSS6QF452RMLX

not attested not anchored not stored refs pending

Unbounded subnormal weighted shifts on directed trees. II

Il Bong Jung, Jan Stochel, Piotr Budzy\'nski, Zenon Jan Jab{\l}o\'nski

arxiv:1202.6550 v1 · 2012-02-29 · 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{Y6Z4KDNBRMKQJQSS6QF452RMLX}

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	2026-05-18T03:10:37.502252Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c7b3c50da18b1504c252f40bceea2c5dd5e6a90b1b5c5c1365da392e3d6be1f0

Aliases

arxiv: 1202.6550 · arxiv_version: 1202.6550v1 · doi: 10.48550/arxiv.1202.6550 · pith_short_12: Y6Z4KDNBRMKQ · pith_short_16: Y6Z4KDNBRMKQJQSS · pith_short_8: Y6Z4KDNB

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/Y6Z4KDNBRMKQJQSS6QF452RMLX \
  | 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: c7b3c50da18b1504c252f40bceea2c5dd5e6a90b1b5c5c1365da392e3d6be1f0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "188cbe996746238ecc35414e9413cb3c9eccc6610d1f3d5b9d5856d3bcf0e681",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2012-02-29T13:58:26Z",
    "title_canon_sha256": "ecbcb4f50d2ac6cfb4a368747091ead2c91e0be776398fb09e47f0fea2185592"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.6550",
    "kind": "arxiv",
    "version": 1
  }
}