Pith Number

pith:26OY4FEY

pith:2016:26OY4FEYI4DP56INOJJ2GAGFOW

not attested not anchored not stored refs pending

A classification of aperiodic order via spectral metrics and Jarn\'ik sets

Arne Mosbach, Maik Gr\"oger, Malte Steffens, Marc Kesseb\"ohmer, Tony Samuel

arxiv:1601.06435 v2 · 2016-01-24 · math.DS · math-ph · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{26OY4FEYI4DP56INOJJ2GAGFOW}

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	2026-05-17T23:56:15.704276Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d79d8e14984706fef90d7253a300c575a789da0d7277750a1d3b1f30061badec

Aliases

arxiv: 1601.06435 · arxiv_version: 1601.06435v2 · doi: 10.48550/arxiv.1601.06435 · pith_short_12: 26OY4FEYI4DP · pith_short_16: 26OY4FEYI4DP56IN · pith_short_8: 26OY4FEY

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/26OY4FEYI4DP56INOJJ2GAGFOW \
  | 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: d79d8e14984706fef90d7253a300c575a789da0d7277750a1d3b1f30061badec

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "82a02afa22640fee8f3b128144a592d590c51e22d8fb3adeb2b6a9479084f3eb",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2016-01-24T22:13:29Z",
    "title_canon_sha256": "e140cbd279acd04ceebc039dae4ded56e8e92ddeb024c755088dc7cd840560ef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.06435",
    "kind": "arxiv",
    "version": 2
  }
}