Pith Number

pith:DQ67JLUI

pith:2013:DQ67JLUIBEISMUEFEYTCSLDQWP

not attested not anchored not stored refs pending

12-fold Quasicrystallography from affine F4, B6, and E6

Mehmet Koca, Nazife O.Koca, Ramazan Koc

arxiv:1306.3316 v4 · 2013-06-14 · 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{DQ67JLUIBEISMUEFEYTCSLDQWP}

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	2026-05-18T01:48:06.963304Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1c3df4ae8809112650852626292c70b3c35fa01103b21e520379fbe4b3997d58

Aliases

arxiv: 1306.3316 · arxiv_version: 1306.3316v4 · doi: 10.48550/arxiv.1306.3316 · pith_short_12: DQ67JLUIBEIS · pith_short_16: DQ67JLUIBEISMUEF · pith_short_8: DQ67JLUI

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/DQ67JLUIBEISMUEFEYTCSLDQWP \
  | 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: 1c3df4ae8809112650852626292c70b3c35fa01103b21e520379fbe4b3997d58

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4a607a1ae39c458f130c63f69ae3fd9739b3275c7588ac9d9b2a9872d685a4f1",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2013-06-14T07:35:14Z",
    "title_canon_sha256": "f63125a45f3ccfe570dc76e63f5ac18cfe28474a41d76642754e5c983c68cc70"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.3316",
    "kind": "arxiv",
    "version": 4
  }
}