Pith Number

pith:TY6PIHKN

pith:2000:TY6PIHKN63KA3AHIEJ3YLBJRF2

not attested not anchored not stored refs pending

Localization for One Dimensional, Continuum, Bernoulli-Anderson Models

David Damanik (UCI), G\"unter Stolz (UAB), Robert Sims (UAB)

arxiv:math-ph/0010016 v1 · 2000-10-14 · math-ph · math.FA · 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{TY6PIHKN63KA3AHIEJ3YLBJRF2}

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	2026-05-18T02:30:23.231270Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9e3cf41d4df6d40d80e822778585312eb3ba9082347a0cf64ff534de2dc882cb

Aliases

arxiv: math-ph/0010016 · arxiv_version: math-ph/0010016v1 · doi: 10.48550/arxiv.math-ph/0010016 · pith_short_12: TY6PIHKN63KA · pith_short_16: TY6PIHKN63KA3AHI · pith_short_8: TY6PIHKN

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/TY6PIHKN63KA3AHIEJ3YLBJRF2 \
  | 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: 9e3cf41d4df6d40d80e822778585312eb3ba9082347a0cf64ff534de2dc882cb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4c471a870c643f83ba91bfd3156417d8c2de507895c4f95888b794c73b4a4acc",
    "cross_cats_sorted": [
      "math.FA",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2000-10-14T02:01:47Z",
    "title_canon_sha256": "92477d733d6897cf446cc3d93fb50b8ec53b81d923af38f6cf5df9720b2defef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0010016",
    "kind": "arxiv",
    "version": 1
  }
}