Pith Number

pith:NZGXLUNZ

pith:2018:NZGXLUNZCJ35LKTNPGYVXT7RBW

not attested not anchored not stored refs pending

Asymptotic laws for a class of quasi-periodic Schr\"odinger cocycles at the lowest energy of the spectrum

Thomas Ohlson Timoudas

arxiv:1809.05418 v1 · 2018-09-14 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NZGXLUNZCJ35LKTNPGYVXT7RBW}

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	2026-05-18T00:05:41.509931Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6e4d75d1b91277d5aa6d79b15bcff10da21bc3c2103ced9d4f6b3de75ce2919a

Aliases

arxiv: 1809.05418 · arxiv_version: 1809.05418v1 · doi: 10.48550/arxiv.1809.05418 · pith_short_12: NZGXLUNZCJ35 · pith_short_16: NZGXLUNZCJ35LKTN · pith_short_8: NZGXLUNZ

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/NZGXLUNZCJ35LKTNPGYVXT7RBW \
  | 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: 6e4d75d1b91277d5aa6d79b15bcff10da21bc3c2103ced9d4f6b3de75ce2919a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a998109feded6e5d7e15aca119bda7c9966659e1b17f97b983d86624d86babbe",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2018-09-14T13:40:30Z",
    "title_canon_sha256": "00151da0cec1c10d75b547cd63125479388ebca677497aa5e451a9d2a5225702"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.05418",
    "kind": "arxiv",
    "version": 1
  }
}