Pith Number

pith:F5Z3RP5Q

pith:2007:F5Z3RP5Q2E54APMBRQRKB2P3CB

not attested not anchored not stored refs pending

A lower bound for the density of states of the lattice Anderson model

Peter D. Hislop, Peter M\"uller

arxiv:0705.1707 v2 · 2007-05-11 · 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{F5Z3RP5Q2E54APMBRQRKB2P3CB}

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	2026-05-18T03:32:32.230914Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2f73b8bfb0d13bc03d818c22a0e9fb106cfa1b51575451345149cc9682ac3464

Aliases

arxiv: 0705.1707 · arxiv_version: 0705.1707v2 · doi: 10.48550/arxiv.0705.1707 · pith_short_12: F5Z3RP5Q2E54 · pith_short_16: F5Z3RP5Q2E54APMB · pith_short_8: F5Z3RP5Q

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/F5Z3RP5Q2E54APMBRQRKB2P3CB \
  | 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: 2f73b8bfb0d13bc03d818c22a0e9fb106cfa1b51575451345149cc9682ac3464

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c610b87bed606d534b80c7cdfd1564c7634ae77457835156839d7536496c2908",
    "cross_cats_sorted": [
      "math.MP",
      "math.SP"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2007-05-11T18:42:57Z",
    "title_canon_sha256": "d3c6c7c313c99ed15b7e271698f619d727bc010bdb67f9fa3e39b9f7eb20c3b4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0705.1707",
    "kind": "arxiv",
    "version": 2
  }
}