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Pith Number

pith:IKMH4D7T

pith:2016:IKMH4D7TJYHYGUN75GXUV5EBNG
not attested not anchored not stored refs pending

Phase diagram of the off-diagonal Aubry-Andr\'e model

Gao Xianlong, Pei Wang, Tong Liu

arxiv:1609.06939 v1 · 2016-09-22 · cond-mat.dis-nn · quant-ph

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{IKMH4D7TJYHYGUN75GXUV5EBNG}

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 2026-05-18T01:04:04.794089Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

42987e0ff34e0f8351bfe9af4af48169ae3e5cc49a1247f356083482199ba74d

Aliases

arxiv: 1609.06939 · arxiv_version: 1609.06939v1 · doi: 10.48550/arxiv.1609.06939 · pith_short_12: IKMH4D7TJYHY · pith_short_16: IKMH4D7TJYHYGUN7 · pith_short_8: IKMH4D7T
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/IKMH4D7TJYHYGUN75GXUV5EBNG \
  | 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: 42987e0ff34e0f8351bfe9af4af48169ae3e5cc49a1247f356083482199ba74d
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "1f4fade76515ebd639190e9f7d3849a88e542901a7aca4b35de50d8e39fa749c",
    "cross_cats_sorted": [
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.dis-nn",
    "submitted_at": "2016-09-22T12:27:53Z",
    "title_canon_sha256": "c342bce2650a312d46d7f5ce52d06c20446e376671c612314b5b9852f6d88a2a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.06939",
    "kind": "arxiv",
    "version": 1
  }
}