Pith Number

pith:ZQYERJEW

pith:2025:ZQYERJEW43KURTBHF2P2OLLHDS

not attested not anchored not stored refs pending

Aubry-Andr\'e Localization Transition for an Active Undulator

Andrew Zangwill, Christopher J. Pierce, Daniel I. Goldman, Dmitri Kalinin, Tianyu Wang

arxiv:2507.03715 v2 · 2025-07-04 · physics.bio-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZQYERJEW43KURTBHF2P2OLLHDS}

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	2026-07-05T11:42:31.893874Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cc3048a496e6d548cc272e9fa72d671c8e13660095249184609530df0f510450

Aliases

arxiv: 2507.03715 · arxiv_version: 2507.03715v2 · doi: 10.48550/arxiv.2507.03715 · pith_short_12: ZQYERJEW43KU · pith_short_16: ZQYERJEW43KURTBH · pith_short_8: ZQYERJEW

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/ZQYERJEW43KURTBHF2P2OLLHDS \
  | 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: cc3048a496e6d548cc272e9fa72d671c8e13660095249184609530df0f510450

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "22b57bb26d9466eefb87c8c98215a79d2c7831cc5b945701bbddf58014cd8ea2",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "physics.bio-ph",
    "submitted_at": "2025-07-04T17:05:10Z",
    "title_canon_sha256": "a49a10739ea046eea1d8f68317578c8a5e4bc465c16b5ee4aec75da618dd7558"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.03715",
    "kind": "arxiv",
    "version": 2
  }
}