Pith Number

pith:JMH6MV4T

pith:2021:JMH6MV4TXRDZZ7NBP3FJ6VCBFO

not attested not anchored not stored refs pending

Sharp smoothing properties of averages over curves

Hyerim Ko, Sanghyuk Lee, Sewook Oh

arxiv:2105.01628 v4 · 2021-05-04 · math.CA · 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{JMH6MV4TXRDZZ7NBP3FJ6VCBFO}

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	2026-07-05T04:10:22.289343Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4b0fe65793bc479cfda17eca9f54412b91d7f67ce1021fa305af7bb8b010bbfc

Aliases

arxiv: 2105.01628 · arxiv_version: 2105.01628v4 · doi: 10.48550/arxiv.2105.01628 · pith_short_12: JMH6MV4TXRDZ · pith_short_16: JMH6MV4TXRDZZ7NB · pith_short_8: JMH6MV4T

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/JMH6MV4TXRDZZ7NBP3FJ6VCBFO \
  | 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: 4b0fe65793bc479cfda17eca9f54412b91d7f67ce1021fa305af7bb8b010bbfc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "31d8da5787e47b3bc821b5bec74f8d46f4c802c2bb98ef8165d6a78645e6f974",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2021-05-04T17:13:51Z",
    "title_canon_sha256": "f30b8e6684d5ef934882fc4dd57d101a860bfca90e23768182ebfda70640cbae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2105.01628",
    "kind": "arxiv",
    "version": 4
  }
}