Pith Number

pith:ZMCIZFAB

pith:2017:ZMCIZFABU7WFNB27KMWOJFUMHR

not attested not anchored not stored refs pending

Hofstadter Butterfly Evolution in the Space of Two-Dimensional Bravais Lattices

F. Y{\i}lmaz, M. \"O. Oktel

arxiv:1703.08810 v1 · 2017-03-26 · cond-mat.quant-gas

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZMCIZFABU7WFNB27KMWOJFUMHR}

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	2026-05-18T00:40:58.388930Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cb048c9401a7ec56875f532ce4968c3c6a3bc509acfc5021fdb5c3912729e3d6

Aliases

arxiv: 1703.08810 · arxiv_version: 1703.08810v1 · doi: 10.48550/arxiv.1703.08810 · pith_short_12: ZMCIZFABU7WF · pith_short_16: ZMCIZFABU7WFNB27 · pith_short_8: ZMCIZFAB

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/ZMCIZFABU7WFNB27KMWOJFUMHR \
  | 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: cb048c9401a7ec56875f532ce4968c3c6a3bc509acfc5021fdb5c3912729e3d6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d83cef53c6e2c38bac6f2af4e7f5612435076138471e73ece88ef4408ad7feff",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.quant-gas",
    "submitted_at": "2017-03-26T12:45:20Z",
    "title_canon_sha256": "4d40b9eaf74d8e1cf5b5d776f78c9a6fc1a869ea9eabd50a32bf705b1e1e3656"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.08810",
    "kind": "arxiv",
    "version": 1
  }
}