Pith Number

pith:6TG6PYYG

pith:2014:6TG6PYYGRFX4V42G7TREZJHFRQ

not attested not anchored not stored refs pending

Subnormal weighted shifts on directed trees whose nth powers have trivial domain

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

arxiv:1409.8022 v1 · 2014-09-29 · 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{6TG6PYYGRFX4V42G7TREZJHFRQ}

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	2026-05-18T02:41:33.851846Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f4cde7e306896fcaf346fce24ca4e58c13beb784cdcf86565b0e93facb900490

Aliases

arxiv: 1409.8022 · arxiv_version: 1409.8022v1 · doi: 10.48550/arxiv.1409.8022 · pith_short_12: 6TG6PYYGRFX4 · pith_short_16: 6TG6PYYGRFX4V42G · pith_short_8: 6TG6PYYG

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/6TG6PYYGRFX4V42G7TREZJHFRQ \
  | 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: f4cde7e306896fcaf346fce24ca4e58c13beb784cdcf86565b0e93facb900490

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e59308ea646f82a101e12eed5db120ee4f8988c5674489a6c02171e78aeb3923",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2014-09-29T08:27:17Z",
    "title_canon_sha256": "ee45c76fdc4e92717032328dec5b997fc06488098ea113832fba2b08d02b66b9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.8022",
    "kind": "arxiv",
    "version": 1
  }
}