Pith Number

pith:3SZRA7N2

pith:2016:3SZRA7N2FQY6K6QNQMP2PQ3PCZ

not attested not anchored not stored refs pending

Translational symmetry breaking and the disintegration of the Hofstadter butterfly

Archana Mishra, R. Shankar, S. R. Hassan

arxiv:1605.06307 v2 · 2016-05-20 · cond-mat.str-el

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3SZRA7N2FQY6K6QNQMP2PQ3PCZ}

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	2026-05-18T00:51:48.997760Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dcb3107dba2c31e57a0d831fa7c36f16518921aa22630144d29063dc9da32e6f

Aliases

arxiv: 1605.06307 · arxiv_version: 1605.06307v2 · doi: 10.48550/arxiv.1605.06307 · pith_short_12: 3SZRA7N2FQY6 · pith_short_16: 3SZRA7N2FQY6K6QN · pith_short_8: 3SZRA7N2

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/3SZRA7N2FQY6K6QNQMP2PQ3PCZ \
  | 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: dcb3107dba2c31e57a0d831fa7c36f16518921aa22630144d29063dc9da32e6f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5fcc090c2998d98a8b894f3a2f94c9835c597857cf90ec57f02ab3ed159eec74",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.str-el",
    "submitted_at": "2016-05-20T12:02:36Z",
    "title_canon_sha256": "8596e52d2c866c428b1a2332cb269c6c461144eead22735b50e0b7915a6bb8b5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.06307",
    "kind": "arxiv",
    "version": 2
  }
}