Pith Number

pith:ELO5PUAD

pith:2014:ELO5PUADK3XNMWQEXHJ3GHLAXY

not attested not anchored not stored refs pending

Riesz basis property of Hill operators with potentials in weighted spaces

Boris Mityagin, Plamen Djakov

arxiv:1403.2973 v1 · 2014-03-12 · math.SP · math.CA · 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{ELO5PUADK3XNMWQEXHJ3GHLAXY}

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	2026-05-18T02:56:33.477812Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

22ddd7d00356eed65a04b9d3b31d60be33a55fb26d850b67c11ae8fdef4bf33b

Aliases

arxiv: 1403.2973 · arxiv_version: 1403.2973v1 · doi: 10.48550/arxiv.1403.2973 · pith_short_12: ELO5PUADK3XN · pith_short_16: ELO5PUADK3XNMWQE · pith_short_8: ELO5PUAD

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/ELO5PUADK3XNMWQEXHJ3GHLAXY \
  | 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: 22ddd7d00356eed65a04b9d3b31d60be33a55fb26d850b67c11ae8fdef4bf33b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e5a7f65a1631a6674e91b152377224f56b1f4cc77d1a39830d44d2a1a1d52148",
    "cross_cats_sorted": [
      "math.CA",
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2014-03-12T15:31:57Z",
    "title_canon_sha256": "3048de74497b7f8f8fd1f0b249ff2c22611a2c830852d480190559e5f38cd872"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.2973",
    "kind": "arxiv",
    "version": 1
  }
}