Pith Number

pith:G7IPJWDP

pith:2010:G7IPJWDP57CWHATSFVYBMD4XLF

not attested not anchored not stored refs pending

The band-gap structures and recovery rules of generalized n-component Fibonacci piezoelectric superlattices

Da Liu, Weiyi Zhang

arxiv:1012.0171 v3 · 2010-12-01 · cond-mat.mtrl-sci

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{G7IPJWDP57CWHATSFVYBMD4XLF}

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	2026-05-18T02:04:36.723844Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

37d0f4d86fefc56382722d70160f97597aa5d13e443d534d4bce13dacb322ac6

Aliases

arxiv: 1012.0171 · arxiv_version: 1012.0171v3 · doi: 10.48550/arxiv.1012.0171 · pith_short_12: G7IPJWDP57CW · pith_short_16: G7IPJWDP57CWHATS · pith_short_8: G7IPJWDP

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/G7IPJWDP57CWHATSFVYBMD4XLF \
  | 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: 37d0f4d86fefc56382722d70160f97597aa5d13e443d534d4bce13dacb322ac6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c7d28a7bee014c76e14758c9eb86a43bbb2922c0c83baa66be71702f4bbc3380",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.mtrl-sci",
    "submitted_at": "2010-12-01T12:12:59Z",
    "title_canon_sha256": "2adf5e10dc94c3f6e4904acbf752c8e457a396d6a9057f63c996482c5e85ff9f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.0171",
    "kind": "arxiv",
    "version": 3
  }
}