Pith Number

pith:6I74KIJN

pith:2008:6I74KIJNVV5CCOABL6Z6XMHPRZ

not attested not anchored not stored refs pending

Absolutely continuous spectrum for a random potential on a tree with strong transverse correlations and large weighted loops

David Hasler, Richard Froese, Wolfgang Spitzer

arxiv:0809.4197 v1 · 2008-09-24 · math-ph · math.MP · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6I74KIJNVV5CCOABL6Z6XMHPRZ}

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	2026-05-18T02:15:33.743105Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f23fc5212dad7a2138015fb3ebb0ef8e44fe3ee4bbef8428dede0b507518625d

Aliases

arxiv: 0809.4197 · arxiv_version: 0809.4197v1 · doi: 10.48550/arxiv.0809.4197 · pith_short_12: 6I74KIJNVV5C · pith_short_16: 6I74KIJNVV5CCOAB · pith_short_8: 6I74KIJN

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/6I74KIJNVV5CCOABL6Z6XMHPRZ \
  | 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: f23fc5212dad7a2138015fb3ebb0ef8e44fe3ee4bbef8428dede0b507518625d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0921491417e7bbe50b37077557ebd7428138677a79535abe25958c9181255f23",
    "cross_cats_sorted": [
      "math.MP",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2008-09-24T14:18:19Z",
    "title_canon_sha256": "1aa29e51084b5961b592fa4f17c061497da12b6aa2186a4aaf98355a930552fd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0809.4197",
    "kind": "arxiv",
    "version": 1
  }
}