Pith Number

pith:GOGKRAQ5

pith:2015:GOGKRAQ5VJHN4IMOIIH4SPCN2M

not attested not anchored not stored refs pending

A group theoretical approach to structural transitions of icosahedral quasicrystals and point arrays

Emilio Zappa, Eric C. Dykeman, James A. Geraets, Reidun Twarock

arxiv:1512.02101 v2 · 2015-12-07 · math-ph · cond-mat.mtrl-sci · 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{GOGKRAQ5VJHN4IMOIIH4SPCN2M}

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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	2026-05-18T01:16:44.942048Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

338ca8821daa4ede218e420fc93c4dd325a9ae6fb2492367b60ef4ca196a6f04

Aliases

arxiv: 1512.02101 · arxiv_version: 1512.02101v2 · doi: 10.48550/arxiv.1512.02101 · pith_short_12: GOGKRAQ5VJHN · pith_short_16: GOGKRAQ5VJHN4IMO · pith_short_8: GOGKRAQ5

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/GOGKRAQ5VJHN4IMOIIH4SPCN2M \
  | 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: 338ca8821daa4ede218e420fc93c4dd325a9ae6fb2492367b60ef4ca196a6f04

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b19a498e56b3ab63e70dc56ed06c0d65f43f3b60019fc0c405cd7e648a7e519f",
    "cross_cats_sorted": [
      "cond-mat.mtrl-sci",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2015-12-07T15:57:01Z",
    "title_canon_sha256": "7a880de15eabae4c191493305d302c2a7e07d319076fe19c7904265de8fc1bad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.02101",
    "kind": "arxiv",
    "version": 2
  }
}