Pith Number

pith:URYPDKYJ

pith:2015:URYPDKYJ7H64B6VBFLBJ26OQ3S

not attested not anchored not stored refs pending

On non-periodic tilings of the real line by a function

Mihail N. Kolountzakis, Nir Lev

arxiv:1505.06833 v2 · 2015-05-26 · 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{URYPDKYJ7H64B6VBFLBJ26OQ3S}

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	2026-05-18T01:29:20.946169Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a470f1ab09f9fdc0faa12ac29d79d0dca358c647cfdce4c089a841e4fc5312f8

Aliases

arxiv: 1505.06833 · arxiv_version: 1505.06833v2 · doi: 10.48550/arxiv.1505.06833 · pith_short_12: URYPDKYJ7H64 · pith_short_16: URYPDKYJ7H64B6VB · pith_short_8: URYPDKYJ

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/URYPDKYJ7H64B6VBFLBJ26OQ3S \
  | 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: a470f1ab09f9fdc0faa12ac29d79d0dca358c647cfdce4c089a841e4fc5312f8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fbeea36c2b32718e65329a8df4b2e050ccf95938d60db7bfec76b899ab381884",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2015-05-26T07:43:23Z",
    "title_canon_sha256": "7dfd872d2eb8d83c3131d54ba8289d0eb443cddcbd5a9527a9dcedb540458f55"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.06833",
    "kind": "arxiv",
    "version": 2
  }
}