Pith Number

pith:22S5RGYD

pith:2017:22S5RGYDNBPK565NZX7QXABABQ

not attested not anchored not stored refs pending

On moduli of smoothness and averaged differences of fractional order

Yurii Kolomoitsev

arxiv:1709.03168 v1 · 2017-09-10 · 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{22S5RGYDNBPK565NZX7QXABABQ}

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	2026-05-18T00:35:39.151381Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d6a5d89b03685eaefbadcdff0b80200c2d9e0e82dc2c59135a7e544dd483d434

Aliases

arxiv: 1709.03168 · arxiv_version: 1709.03168v1 · doi: 10.48550/arxiv.1709.03168 · pith_short_12: 22S5RGYDNBPK · pith_short_16: 22S5RGYDNBPK565N · pith_short_8: 22S5RGYD

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/22S5RGYDNBPK565NZX7QXABABQ \
  | 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: d6a5d89b03685eaefbadcdff0b80200c2d9e0e82dc2c59135a7e544dd483d434

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8ce65ac24d86dc4b96f904323fd318df9528fd6e3e62e2a59fcfd00741d1e5e3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2017-09-10T20:23:09Z",
    "title_canon_sha256": "736688db5d99e55bb9258d3db45e768d047edb5dcc35a33414b8bbeb7c441835"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.03168",
    "kind": "arxiv",
    "version": 1
  }
}