Pith Number

pith:BSRI3KW5

pith:2018:BSRI3KW5QFHM5EOPJYAHWTDV7E

not attested not anchored not stored refs pending

Quasiperiodic granular chains and Hofstadter butterflies

Alejandro J. Mart\'inez, Mason A. Porter, P. G. Kevrekidis

arxiv:1801.09860 v1 · 2018-01-30 · nlin.PS · cond-mat.mtrl-sci · math-ph · math.DS · math.MP · nlin.CD

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BSRI3KW5QFHM5EOPJYAHWTDV7E}

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	2026-05-18T00:08:15.506775Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0ca28daadd814ece91cf4e007b4c75f93a923e573f69183e04e823ecd1e254e9

Aliases

arxiv: 1801.09860 · arxiv_version: 1801.09860v1 · doi: 10.48550/arxiv.1801.09860 · pith_short_12: BSRI3KW5QFHM · pith_short_16: BSRI3KW5QFHM5EOP · pith_short_8: BSRI3KW5

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/BSRI3KW5QFHM5EOPJYAHWTDV7E \
  | 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: 0ca28daadd814ece91cf4e007b4c75f93a923e573f69183e04e823ecd1e254e9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2b80fd19390c52786edecb875151c96bba89e3b65f07d4569897611b0ec98206",
    "cross_cats_sorted": [
      "cond-mat.mtrl-sci",
      "math-ph",
      "math.DS",
      "math.MP",
      "nlin.CD"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.PS",
    "submitted_at": "2018-01-30T06:28:32Z",
    "title_canon_sha256": "fe68355e4ad8f838cc05baf9bd73642334902260cfae6163eee46bf728c4a72e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.09860",
    "kind": "arxiv",
    "version": 1
  }
}