Pith Number

pith:MVUZ5T33

pith:2023:MVUZ5T33NW46XUTZD2A2V5X4BM

not attested not anchored not stored refs pending

H\"older continuity of functions in the fractional Sobolev spaces: 1-dimensional case

Yan Rybalko

arxiv:2308.06048 v2 · 2023-08-11 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MVUZ5T33NW46XUTZD2A2V5X4BM}

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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.

Cited by

1 paper in Pith

Holder continuity of an alternating Erdos series on prime K-tuples

Receipt and verification

First computed	2026-07-05T06:41:51.209182Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

65699ecf7b6db9ebd2791e81aaf6fc0b1df2950b3f1ebfa6e65f8048cce34ddf

Aliases

arxiv: 2308.06048 · arxiv_version: 2308.06048v2 · doi: 10.48550/arxiv.2308.06048 · pith_short_12: MVUZ5T33NW46 · pith_short_16: MVUZ5T33NW46XUTZ · pith_short_8: MVUZ5T33

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/MVUZ5T33NW46XUTZD2A2V5X4BM \
  | 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: 65699ecf7b6db9ebd2791e81aaf6fc0b1df2950b3f1ebfa6e65f8048cce34ddf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ba58729acb02bdcb723e07b612006687d306acbe0e8ae061a55906bc690d0123",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2023-08-11T09:52:22Z",
    "title_canon_sha256": "af92d415768b9ec017002d5a26f24aa920e0ffa2d38ed60e3bfd67db19fdbd0b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2308.06048",
    "kind": "arxiv",
    "version": 2
  }
}