Pith Number

pith:VJVRN6Z3

pith:2015:VJVRN6Z3CPO5V2S5QTWH5ORREB

not attested not anchored not stored refs pending

An eigensystem approach to Anderson localization

Abel Klein, Alexander Elgart

arxiv:1509.08521 v2 · 2015-09-28 · 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{VJVRN6Z3CPO5V2S5QTWH5ORREB}

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	2026-05-18T00:38:40.136306Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aa6b16fb3b13dddaea5d84ec7eba3120731df6d2a63df8880456fa2a2bf12363

Aliases

arxiv: 1509.08521 · arxiv_version: 1509.08521v2 · doi: 10.48550/arxiv.1509.08521 · pith_short_12: VJVRN6Z3CPO5 · pith_short_16: VJVRN6Z3CPO5V2S5 · pith_short_8: VJVRN6Z3

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/VJVRN6Z3CPO5V2S5QTWH5ORREB \
  | 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: aa6b16fb3b13dddaea5d84ec7eba3120731df6d2a63df8880456fa2a2bf12363

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8fe16c9dab91027919d5d4c01b171c7508a46b8b4f187cce035f82aa38a4b07f",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2015-09-28T22:06:53Z",
    "title_canon_sha256": "37f96baef4d837f4325c6f441d9a216ead21e7ac4cf4ac1dcf06c0cb2bfb8410"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.08521",
    "kind": "arxiv",
    "version": 2
  }
}