Pith Number

pith:DUQVDGCN

pith:2018:DUQVDGCNFF5R6GF3S6ELYMUBAM

not attested not anchored not stored refs pending

Fourier uniformity of bounded multiplicative functions in short intervals on average

Kaisa Matom\"aki, Maksym Radziwi{\l}{\l}, Terence Tao

arxiv:1812.01224 v1 · 2018-12-04 · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DUQVDGCNFF5R6GF3S6ELYMUBAM}

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	2026-05-17T23:59:13.059676Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1d2151984d297b1f18bb9788bc32810322b89853cf97ed6ccac696c591c1ee32

Aliases

arxiv: 1812.01224 · arxiv_version: 1812.01224v1 · doi: 10.48550/arxiv.1812.01224 · pith_short_12: DUQVDGCNFF5R · pith_short_16: DUQVDGCNFF5R6GF3 · pith_short_8: DUQVDGCN

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/DUQVDGCNFF5R6GF3S6ELYMUBAM \
  | 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: 1d2151984d297b1f18bb9788bc32810322b89853cf97ed6ccac696c591c1ee32

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2b0867cd93fda7ab1856f544105b1eff1568fff7f4b2282a3f08d69ed3136870",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-12-04T05:31:07Z",
    "title_canon_sha256": "d1b11ee348ffac24597a60ff3665d6797da77a8827360d1a8cdbc595596b7c20"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.01224",
    "kind": "arxiv",
    "version": 1
  }
}