Pith Number

pith:V6R4LH2U

pith:2018:V6R4LH2UK5DTI4TYX6R3DIAQSK

not attested not anchored not stored refs pending

Disjoint hypercyclic weighted pseudo-shift operators generated by different shifts

Ya Wang, Ze-Hua Zhou

arxiv:1804.02194 v1 · 2018-04-06 · 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{V6R4LH2UK5DTI4TYX6R3DIAQSK}

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	2026-05-18T00:19:05.596658Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

afa3c59f545747347278bfa3b1a01092b4664a94e6e26c2d97673f547bd30a57

Aliases

arxiv: 1804.02194 · arxiv_version: 1804.02194v1 · doi: 10.48550/arxiv.1804.02194 · pith_short_12: V6R4LH2UK5DT · pith_short_16: V6R4LH2UK5DTI4TY · pith_short_8: V6R4LH2U

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/V6R4LH2UK5DTI4TYX6R3DIAQSK \
  | 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: afa3c59f545747347278bfa3b1a01092b4664a94e6e26c2d97673f547bd30a57

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "139c4fff53769f57f3e54b13ad2514f79d31ce25fddadc8732fd5b0bb79e6e21",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2018-04-06T10:35:37Z",
    "title_canon_sha256": "db983918a67091133f8a6ba8df1c1cf128894577d284ab1cfc476279bce64beb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.02194",
    "kind": "arxiv",
    "version": 1
  }
}