Pith Number

pith:QJD7J3B7

pith:2020:QJD7J3B7RWY565C5W6M4KBVYZZ

not attested not anchored not stored refs pending

Kolmogorov widths of Besov classes $B^1_{1,\theta}$ and products of octahedra

Yuri Malykhin

arxiv:2010.05107 v1 · 2020-10-10 · math.FA · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QJD7J3B7RWY565C5W6M4KBVYZZ}

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	2026-07-05T01:42:03.028515Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8247f4ec3f8db1df745db799c506b8ce718099f32e821ce0fe8d1134ed0000fa

Aliases

arxiv: 2010.05107 · arxiv_version: 2010.05107v1 · doi: 10.48550/arxiv.2010.05107 · pith_short_12: QJD7J3B7RWY5 · pith_short_16: QJD7J3B7RWY565C5 · pith_short_8: QJD7J3B7

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/QJD7J3B7RWY565C5W6M4KBVYZZ \
  | 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: 8247f4ec3f8db1df745db799c506b8ce718099f32e821ce0fe8d1134ed0000fa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3878a6ea421302b1d221ac1b51118fe834b74eb6b7f684955b27b7794a4cc5c3",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2020-10-10T22:07:25Z",
    "title_canon_sha256": "aad7546638dbfdcc991d53e29e68cda49e68566659536b47861bdbec856781cb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2010.05107",
    "kind": "arxiv",
    "version": 1
  }
}