Pith Number

pith:WCPEDYTI

pith:2018:WCPEDYTIGB7ZQNJK3IQW45MSID

not attested not anchored not stored refs pending

Multidimensional Almost-Periodic Schr\"odinger Operators with Cantor Spectrum

Anton Gorodetski (UC Irvine), David Damanik (Rice University), Jake Fillman (Virginia Tech)

arxiv:1809.02720 v1 · 2018-09-08 · math.SP · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WCPEDYTIGB7ZQNJK3IQW45MSID}

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	2026-05-17T23:47:20.487149Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b09e41e268307f98352ada216e759240edc2cf017c7cf824d84e0f0749a657ce

Aliases

arxiv: 1809.02720 · arxiv_version: 1809.02720v1 · doi: 10.48550/arxiv.1809.02720 · pith_short_12: WCPEDYTIGB7Z · pith_short_16: WCPEDYTIGB7ZQNJK · pith_short_8: WCPEDYTI

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/WCPEDYTIGB7ZQNJK3IQW45MSID \
  | 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: b09e41e268307f98352ada216e759240edc2cf017c7cf824d84e0f0749a657ce

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "feed1049767c9b67054d8b7e5b22eab8705649df4b627f95d5c92286256c31a8",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2018-09-08T00:00:52Z",
    "title_canon_sha256": "4f45f957be40e9ee69d9b48ba5dabd1e2d18338d98e581d4f03c91cb0cc25b9e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.02720",
    "kind": "arxiv",
    "version": 1
  }
}