Pith Number

pith:AM3MN3HT

pith:2013:AM3MN3HT7V2ARHJMVD37HEWS4I

not attested not anchored not stored refs pending

Ground state energy of trimmed discrete Schr\"odinger operators and localization for trimmed Anderson models

Abel Klein, Alexander Elgart

arxiv:1301.5268 v2 · 2013-01-22 · 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{AM3MN3HT7V2ARHJMVD37HEWS4I}

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	2026-05-18T00:38:40.253070Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0336c6ecf3fd74089d2ca8f7f392d2e23d8621b5deccfd35b8b7f0b6e6550205

Aliases

arxiv: 1301.5268 · arxiv_version: 1301.5268v2 · doi: 10.48550/arxiv.1301.5268 · pith_short_12: AM3MN3HT7V2A · pith_short_16: AM3MN3HT7V2ARHJM · pith_short_8: AM3MN3HT

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/AM3MN3HT7V2ARHJMVD37HEWS4I \
  | 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: 0336c6ecf3fd74089d2ca8f7f392d2e23d8621b5deccfd35b8b7f0b6e6550205

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e84d1ae0e2807c0f00cecf97eb7e1f0e0dfc69db0401151a87b4913365dcabfe",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2013-01-22T18:38:44Z",
    "title_canon_sha256": "b4de8d7ab818cfb88a57db9f8e9ac36e43ec62d4af26331b3109119fdddf936c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.5268",
    "kind": "arxiv",
    "version": 2
  }
}