Pith Number

pith:45QSM5UT

pith:2015:45QSM5UT7MMPQMMAIUG3KTJL2W

not attested not anchored not stored refs pending

Fourier quasicrystals and Lagarias' conjecture

Sergii Yu. Favorov

arxiv:1503.00172 v1 · 2015-02-28 · 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{45QSM5UT7MMPQMMAIUG3KTJL2W}

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.

Cited by

1 paper in Pith

On almost periodicity in crystalline measures

Receipt and verification

First computed	2026-05-18T02:25:55.002884Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e761267693fb18f83180450db54d2bd59b9c315c2541c2f12c35b5048ae9a0b5

Aliases

arxiv: 1503.00172 · arxiv_version: 1503.00172v1 · doi: 10.48550/arxiv.1503.00172 · pith_short_12: 45QSM5UT7MMP · pith_short_16: 45QSM5UT7MMPQMMA · pith_short_8: 45QSM5UT

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/45QSM5UT7MMPQMMAIUG3KTJL2W \
  | 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: e761267693fb18f83180450db54d2bd59b9c315c2541c2f12c35b5048ae9a0b5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ff55788404f36ac06100a731b6d9af73f32dde8d99c7bc83b636e1d8a916f237",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2015-02-28T20:23:05Z",
    "title_canon_sha256": "9ffc4286c3e56e4ad3a8489f6a99362187678979b87be2cc39d4d1a8412f1213"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.00172",
    "kind": "arxiv",
    "version": 1
  }
}