Pith Number

pith:4MYDYAIR

pith:2013:4MYDYAIRHSIGMQI7RJNQ3C3SGY

not attested not anchored not stored refs pending

Quasicrystals and Poisson's summation formula

Alexander Olevskii, Nir Lev

arxiv:1312.6884 v2 · 2013-12-24 · 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{4MYDYAIRHSIGMQI7RJNQ3C3SGY}

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	2026-05-18T02:30:15.790593Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e3303c01113c9066411f8a5b0d8b72362ce308d555aa14ce81a83457f6e2db32

Aliases

arxiv: 1312.6884 · arxiv_version: 1312.6884v2 · doi: 10.48550/arxiv.1312.6884 · pith_short_12: 4MYDYAIRHSIG · pith_short_16: 4MYDYAIRHSIGMQI7 · pith_short_8: 4MYDYAIR

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/4MYDYAIRHSIGMQI7RJNQ3C3SGY \
  | 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: e3303c01113c9066411f8a5b0d8b72362ce308d555aa14ce81a83457f6e2db32

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "caac575ce01945ad3725c8c8e80dcb4d07dd6a000d90fec0d746514305c7ab66",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2013-12-24T20:19:42Z",
    "title_canon_sha256": "3fe2efb26da453ab0fe25ab71804566037833af986f3e1d5ac5f12ee97ca2f51"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.6884",
    "kind": "arxiv",
    "version": 2
  }
}