Pith Number

pith:H5HEZLD4

pith:2015:H5HEZLD475IMPX3GSB4R7PTPDE

not attested not anchored not stored refs pending

Invariant subspaces of the shift plus complex Volterra operator

Bhupendra Paudyal, \v{Z}eljko \v{C}u\v{c}kovi\'c

arxiv:1501.05985 v1 · 2015-01-24 · math.CV · 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{H5HEZLD475IMPX3GSB4R7PTPDE}

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	2026-05-18T00:42:22.139111Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3f4e4cac7cff50c7df6690791fbe6f1928c45f4c35599efd59097d4465322803

Aliases

arxiv: 1501.05985 · arxiv_version: 1501.05985v1 · doi: 10.48550/arxiv.1501.05985 · pith_short_12: H5HEZLD475IM · pith_short_16: H5HEZLD475IMPX3G · pith_short_8: H5HEZLD4

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/H5HEZLD475IMPX3GSB4R7PTPDE \
  | 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: 3f4e4cac7cff50c7df6690791fbe6f1928c45f4c35599efd59097d4465322803

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d74b6d4f4a5442e0bc0d1e47db5f7279f722107c32534c1f1d9fe355697f112b",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://creativecommons.org/licenses/publicdomain/",
    "primary_cat": "math.CV",
    "submitted_at": "2015-01-24T00:22:15Z",
    "title_canon_sha256": "7b2af49d85e2427b6ef124ae07d7944dd7cd696aed1e66b863316cc705f20a6d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.05985",
    "kind": "arxiv",
    "version": 1
  }
}