Pith Number

pith:2IVWHZUI

pith:2010:2IVWHZUIBENNOTZK6QRZIRJIGJ

not attested not anchored not stored refs pending

Absolutely continuous spectrum for the Anderson model on a product of a tree with a finite graph

David Hasler, Florina Halasan, Richard Froese

arxiv:1008.2949 v3 · 2010-08-17 · 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{2IVWHZUIBENNOTZK6QRZIRJIGJ}

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	2026-05-18T04:10:09.090665Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d22b63e688091ad74f2af4239445283262e5c47e9a008c2a5a98db8fd7782b2e

Aliases

arxiv: 1008.2949 · arxiv_version: 1008.2949v3 · doi: 10.48550/arxiv.1008.2949 · pith_short_12: 2IVWHZUIBENN · pith_short_16: 2IVWHZUIBENNOTZK · pith_short_8: 2IVWHZUI

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/2IVWHZUIBENNOTZK6QRZIRJIGJ \
  | 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: d22b63e688091ad74f2af4239445283262e5c47e9a008c2a5a98db8fd7782b2e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "40a56e8bc41a833364473181c5e5f37e115044183a4391b2c19c8247fc1f8a6c",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2010-08-17T19:20:58Z",
    "title_canon_sha256": "6c3f7d208ca9318ea174afbf4aff4d2445b33f145885bbb4327c432d07b41599"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.2949",
    "kind": "arxiv",
    "version": 3
  }
}