Pith Number

pith:ABOKDSAL

pith:2013:ABOKDSALZGAYBYKVOK6YLTE4KJ

not attested not anchored not stored refs pending

Optical properties of the Hofstadter butterfly in the Moir\'{e} superlattice

Mikito Koshino, Pilkyung Moon

arxiv:1308.0713 v2 · 2013-08-03 · cond-mat.mes-hall

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ABOKDSALZGAYBYKVOK6YLTE4KJ}

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	2026-05-18T03:02:46.826775Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

005ca1c80bc98180e15572bd85cc9c5250e41d43c21db7c5f2ce3b6bc9ac27d9

Aliases

arxiv: 1308.0713 · arxiv_version: 1308.0713v2 · doi: 10.48550/arxiv.1308.0713 · pith_short_12: ABOKDSALZGAY · pith_short_16: ABOKDSALZGAYBYKV · pith_short_8: ABOKDSAL

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/ABOKDSALZGAYBYKVOK6YLTE4KJ \
  | 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: 005ca1c80bc98180e15572bd85cc9c5250e41d43c21db7c5f2ce3b6bc9ac27d9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0346929370e2eb327d1b0781bb7f8790f6f658242fc3d7a0f43a14b6ec6b900f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.mes-hall",
    "submitted_at": "2013-08-03T16:18:59Z",
    "title_canon_sha256": "a627b2c0ff40661e79e52387a4351b5c9caa5b8c8c06182e60a017447697acff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.0713",
    "kind": "arxiv",
    "version": 2
  }
}