Pith Number

pith:HQ76HW5J

pith:2025:HQ76HW5JD6W764SSMLZYMRBZV7

not attested not anchored not stored refs pending

Kolmogorov widths of balls in mixed norms: the case of rigidity

Konstantin Ryutin, Yuri Malykhin

arxiv:2502.20152 v1 · 2025-02-27 · 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{HQ76HW5JD6W764SSMLZYMRBZV7}

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	2026-07-05T10:21:10.127486Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3c3fe3dba91fadff725262f3864439afdc183914d3491d6ed1a4e71debe2a6b5

Aliases

arxiv: 2502.20152 · arxiv_version: 2502.20152v1 · doi: 10.48550/arxiv.2502.20152 · pith_short_12: HQ76HW5JD6W7 · pith_short_16: HQ76HW5JD6W764SS · pith_short_8: HQ76HW5J

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/HQ76HW5JD6W764SSMLZYMRBZV7 \
  | 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: 3c3fe3dba91fadff725262f3864439afdc183914d3491d6ed1a4e71debe2a6b5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b4d039ae7934dc8acd42aad5eb6b4c9a495a3cf468fab22a3a6c26fe992f372e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2025-02-27T14:48:17Z",
    "title_canon_sha256": "67e8191ac935b91edee4bdf0dd1ec60a6f1994eb01cb1e122881d494ac9ce11a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2502.20152",
    "kind": "arxiv",
    "version": 1
  }
}