Pith Number

pith:LTL64FNM

pith:2012:LTL64FNMJ5HQMPJJ7KAATZ7NOQ

not attested not anchored not stored refs pending

Hofstadter's butterfly in moire superlattices: A fractal quantum Hall effect

C. Forsythe, C. R. Dean, F. Ghahari, J. Hone, J. Katoch, K. L. Shepard, K. Watanabe, L. Wang, M. Ishigami, M. Koshino, P. Kim, P. Maher, P. Moon, T. Taniguchi, Y. Gao

arxiv:1212.4783 v1 · 2012-12-19 · 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{LTL64FNMJ5HQMPJJ7KAATZ7NOQ}

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	2026-05-18T03:25:34.750331Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5cd7ee15ac4f4f063d29fa8009e7ed74272ff36e6d1d7f1a240a68e78d4b904e

Aliases

arxiv: 1212.4783 · arxiv_version: 1212.4783v1 · doi: 10.48550/arxiv.1212.4783 · pith_short_12: LTL64FNMJ5HQ · pith_short_16: LTL64FNMJ5HQMPJJ · pith_short_8: LTL64FNM

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/LTL64FNMJ5HQMPJJ7KAATZ7NOQ \
  | 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: 5cd7ee15ac4f4f063d29fa8009e7ed74272ff36e6d1d7f1a240a68e78d4b904e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "525f3cd7b1e2b8ead979fe427e0ebdb3cbbdf688da724a91f3eaaaf6cc947289",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.mes-hall",
    "submitted_at": "2012-12-19T18:25:54Z",
    "title_canon_sha256": "a2468c2400bccbfa10e2583a45a30bfde3f6ceedd59547f885a24efbcc61b7aa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.4783",
    "kind": "arxiv",
    "version": 1
  }
}