Pith Number

pith:MO5FMPU5

pith:2013:MO5FMPU53QNIADHSUJXWNSYFIN

not attested not anchored not stored refs pending

Quasicrystals -- The impact of N.G. de Bruijn

Helen Au-Yang, Jacques H.H. Perk

arxiv:1306.6698 v3 · 2013-06-28 · math-ph · cond-mat.stat-mech · math.HO · math.MP · physics.hist-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MO5FMPU53QNIADHSUJXWNSYFIN}

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	2026-05-18T02:45:55.960776Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

63ba563e9ddc1a800cf2a26f66cb05434dd16520559a2d947a85c5f30f494796

Aliases

arxiv: 1306.6698 · arxiv_version: 1306.6698v3 · doi: 10.48550/arxiv.1306.6698 · pith_short_12: MO5FMPU53QNI · pith_short_16: MO5FMPU53QNIADHS · pith_short_8: MO5FMPU5

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/MO5FMPU53QNIADHSUJXWNSYFIN \
  | 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: 63ba563e9ddc1a800cf2a26f66cb05434dd16520559a2d947a85c5f30f494796

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e993e0ad1b31f00de174ee41c077acf965f3546855155706df109f66a08d7bca",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "math.HO",
      "math.MP",
      "physics.hist-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2013-06-28T02:25:37Z",
    "title_canon_sha256": "aad790e98aa8a792a064642892f502351395dd7bc44e9b1053d043f460a80ea7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.6698",
    "kind": "arxiv",
    "version": 3
  }
}