Pith Number

pith:QYH4N44B

pith:2012:QYH4N44BVQLFQHF3AC75SPRC67

not attested not anchored not stored refs pending

Moduli of smoothness and growth properties of Fourier transforms: two-sided estimates

D. Gorbachev, S. Tikhonov

arxiv:1204.4392 v2 · 2012-04-19 · 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{QYH4N44BVQLFQHF3AC75SPRC67}

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	2026-05-18T03:57:26.360120Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

860fc6f381ac16581cbb00bfd93e22f7ca86a6983893cd79e463bd1fc841d4c7

Aliases

arxiv: 1204.4392 · arxiv_version: 1204.4392v2 · doi: 10.48550/arxiv.1204.4392 · pith_short_12: QYH4N44BVQLF · pith_short_16: QYH4N44BVQLFQHF3 · pith_short_8: QYH4N44B

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/QYH4N44BVQLFQHF3AC75SPRC67 \
  | 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: 860fc6f381ac16581cbb00bfd93e22f7ca86a6983893cd79e463bd1fc841d4c7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b0b81f2b50ae2a064715aab819f6f7bf68789fb4bdf79c86318093a4db7bca13",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2012-04-19T15:58:26Z",
    "title_canon_sha256": "1dababff44b82b605b7297bb8c36c31754dcae2568202af16939bde4a21ae361"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.4392",
    "kind": "arxiv",
    "version": 2
  }
}