Pith Number

pith:KVMBBKE3

pith:2013:KVMBBKE3LBFQU2PC3PZ5IB4XC6

not attested not anchored not stored refs pending

Delocalization for the 3-D discrete random Schroedinger operator at weak disorder

Constanze Liaw, Robert C. Kirby, Westin King

arxiv:1312.3936 v1 · 2013-12-13 · 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{KVMBBKE3LBFQU2PC3PZ5IB4XC6}

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	2026-05-18T02:47:31.391386Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

555810a89b584b0a69e2dbf3d407971790e0f5cffbbe797d436c387501e287cd

Aliases

arxiv: 1312.3936 · arxiv_version: 1312.3936v1 · doi: 10.48550/arxiv.1312.3936 · pith_short_12: KVMBBKE3LBFQ · pith_short_16: KVMBBKE3LBFQU2PC · pith_short_8: KVMBBKE3

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/KVMBBKE3LBFQU2PC3PZ5IB4XC6 \
  | 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: 555810a89b584b0a69e2dbf3d407971790e0f5cffbbe797d436c387501e287cd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4acf5345e7bdf33d3816d6ba6f2cc6db7620249a3c404e2fac31eb5fab49770d",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2013-12-13T20:48:43Z",
    "title_canon_sha256": "b61dd66ab223748ec578e100f546728251fe59b38759f35c16f153db705953bb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.3936",
    "kind": "arxiv",
    "version": 1
  }
}