Pith Number

pith:SJ2QYTC7

pith:2013:SJ2QYTC73ZLJ7REKIJGZWETLWL

not attested not anchored not stored refs pending

Free path lengths in quasicrystals

Andreas Str\"ombergsson, Jens Marklof

arxiv:1304.2044 v1 · 2013-04-07 · math-ph · math.DS · 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{SJ2QYTC73ZLJ7REKIJGZWETLWL}

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	2026-05-18T01:33:59.136058Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

92750c4c5fde569fc48a424d9b126bb2fb600156889a899e786955c02ad38b54

Aliases

arxiv: 1304.2044 · arxiv_version: 1304.2044v1 · doi: 10.48550/arxiv.1304.2044 · pith_short_12: SJ2QYTC73ZLJ · pith_short_16: SJ2QYTC73ZLJ7REK · pith_short_8: SJ2QYTC7

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/SJ2QYTC73ZLJ7REKIJGZWETLWL \
  | 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: 92750c4c5fde569fc48a424d9b126bb2fb600156889a899e786955c02ad38b54

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "abe9b3a66422caf911a797aea8e02e992724920b4b7f29562fcd1bb72b4787fd",
    "cross_cats_sorted": [
      "math.DS",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2013-04-07T19:20:25Z",
    "title_canon_sha256": "c33e30d01bfbec574c11d0cdfc59867d5c95772d0d71aa42a302f5fc8c6ca50c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.2044",
    "kind": "arxiv",
    "version": 1
  }
}