Pith Number

pith:ADAPOPA3

pith:2014:ADAPOPA3I45XFISKEP7NXJBSZS

not attested not anchored not stored refs pending

Quantitative version of Beurling-Helson theorem

Ilya D. Shkredov, Sergei V. Konyagin

arxiv:1401.4429 v1 · 2014-01-17 · math.CA · math.CO · 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{ADAPOPA3I45XFISKEP7NXJBSZS}

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	2026-05-18T03:01:55.031740Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

00c0f73c1b473b72a24a23fedba432cc83039b3596d6fb1a21c77efa77649775

Aliases

arxiv: 1401.4429 · arxiv_version: 1401.4429v1 · doi: 10.48550/arxiv.1401.4429 · pith_short_12: ADAPOPA3I45X · pith_short_16: ADAPOPA3I45XFISK · pith_short_8: ADAPOPA3

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/ADAPOPA3I45XFISKEP7NXJBSZS \
  | 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: 00c0f73c1b473b72a24a23fedba432cc83039b3596d6fb1a21c77efa77649775

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9ef89e41c36c1575dadd331295fb1f5de0c6be3762c4af0318b323bed820b548",
    "cross_cats_sorted": [
      "math.CO",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2014-01-17T18:30:47Z",
    "title_canon_sha256": "6a1577ebb0d39a96b6260f2e3a71ae84e40eaf64c7d3dda231a678895ca04b26"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.4429",
    "kind": "arxiv",
    "version": 1
  }
}