Pith Number

pith:B33ZO4SA

pith:2013:B33ZO4SAR7UPZIV2XKXHHW3RIW

not attested not anchored not stored refs pending

On a sharp estimate for Hankel operators and Putnam's inequality

Jan-Fredrik Olsen, Maria Carmen Reguera

arxiv:1305.5193 v2 · 2013-05-22 · math.FA · math.CV

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{B33ZO4SAR7UPZIV2XKXHHW3RIW}

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	2026-05-18T02:51:15.120918Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0ef79772408fe8fca2babaae73db7145858f773869a3a87a8392e80330cc58ef

Aliases

arxiv: 1305.5193 · arxiv_version: 1305.5193v2 · doi: 10.48550/arxiv.1305.5193 · pith_short_12: B33ZO4SAR7UP · pith_short_16: B33ZO4SAR7UPZIV2 · pith_short_8: B33ZO4SA

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/B33ZO4SAR7UPZIV2XKXHHW3RIW \
  | 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: 0ef79772408fe8fca2babaae73db7145858f773869a3a87a8392e80330cc58ef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9c8949cfb500f8833d06608644e3189013d41770f8c7bffebe190b6f4581d085",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2013-05-22T16:58:46Z",
    "title_canon_sha256": "f2aed768ad4c288666181565fa61414feddb0ecfbbc76b5dfedf6f3f587b38cc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.5193",
    "kind": "arxiv",
    "version": 2
  }
}