Pith Number

pith:NGCSSIMF

pith:2018:NGCSSIMFE2C4LZ5WNJSI25V54W

not attested not anchored not stored refs pending

On syndetic Riesz sequences

Itay Londner, Marcin Bownik

arxiv:1807.02619 v3 · 2018-07-07 · 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{NGCSSIMFE2C4LZ5WNJSI25V54W}

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	2026-05-17T23:41:01.246408Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

69852921852685c5e7b66a648d76bde5b16e1492bbd38af572753deec1544f18

Aliases

arxiv: 1807.02619 · arxiv_version: 1807.02619v3 · doi: 10.48550/arxiv.1807.02619 · pith_short_12: NGCSSIMFE2C4 · pith_short_16: NGCSSIMFE2C4LZ5W · pith_short_8: NGCSSIMF

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/NGCSSIMFE2C4LZ5WNJSI25V54W \
  | 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: 69852921852685c5e7b66a648d76bde5b16e1492bbd38af572753deec1544f18

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a896f8d2f1eb9de6d4e2d7c6a091af4258eea7befee01902426be3430a306165",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2018-07-07T06:29:55Z",
    "title_canon_sha256": "69419e720a4ba74ba4c78dbf8089ac31e320c2f6678c8c5edb6c9c2898a49250"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.02619",
    "kind": "arxiv",
    "version": 3
  }
}