Pith Number

pith:IKQG2SUH

pith:2025:IKQG2SUHV56BQESTDOU2MUCR5H

not attested not anchored not stored refs pending

Kolmogorov widths of the class $W_1^1$

Yuri Malykhin

arxiv:2502.06716 v1 · 2025-02-10 · 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{IKQG2SUHV56BQESTDOU2MUCR5H}

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	2026-07-05T10:12:11.274329Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

42a06d4a87af7c1812531ba9a65051e9fa772c7da8b66a363c33b7b498d13dd8

Aliases

arxiv: 2502.06716 · arxiv_version: 2502.06716v1 · doi: 10.48550/arxiv.2502.06716 · pith_short_12: IKQG2SUHV56B · pith_short_16: IKQG2SUHV56BQEST · pith_short_8: IKQG2SUH

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/IKQG2SUHV56BQESTDOU2MUCR5H \
  | 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: 42a06d4a87af7c1812531ba9a65051e9fa772c7da8b66a363c33b7b498d13dd8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f1bb75f480296dc9aa004d6063451b0dc8d1e81f83abafcc9d3852bdde323d04",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2025-02-10T17:47:38Z",
    "title_canon_sha256": "8ce1e524375a8c73fdca6e64be71ad33e1cfd6c4d5b3c9bfd63d7758cd55a1b3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2502.06716",
    "kind": "arxiv",
    "version": 1
  }
}