Pith Number

pith:OFYGO7TB

pith:2019:OFYGO7TBZ4JZSFGCQEMMQYVEKE

not attested not anchored not stored refs pending

Generalized localization for spherical partial sums of multiple Fourier series

Ravshan Ashurov

arxiv:1901.03028 v1 · 2019-01-10 · 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{OFYGO7TBZ4JZSFGCQEMMQYVEKE}

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	2026-05-17T23:56:35.772837Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7170677e61cf139914c28118c862a4511100a121a8d405a8ed7811c37d6a2a76

Aliases

arxiv: 1901.03028 · arxiv_version: 1901.03028v1 · doi: 10.48550/arxiv.1901.03028 · pith_short_12: OFYGO7TBZ4JZ · pith_short_16: OFYGO7TBZ4JZSFGC · pith_short_8: OFYGO7TB

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/OFYGO7TBZ4JZSFGCQEMMQYVEKE \
  | 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: 7170677e61cf139914c28118c862a4511100a121a8d405a8ed7811c37d6a2a76

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2165a06fac67ce8e2635f9629255787013a830a62c80ae5a8d93d1359cafef1f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-01-10T06:19:14Z",
    "title_canon_sha256": "5fcb9ae7a332589b461dcb3f892bf4c4201d7b5806f7ca696ac97ebbeae3bbe9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.03028",
    "kind": "arxiv",
    "version": 1
  }
}