Pith Number

pith:4A5354I3

pith:2015:4A5354I37YCILXV2R3HDWRU3FC

not attested not anchored not stored refs pending

Non-Perturbative Localization with Quasiperiodic Potential in Continuous Time

Damir Kinzebulatov, Ilia Binder, Mircea Voda

arxiv:1512.06892 v1 · 2015-12-21 · math.SP · 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{4A5354I37YCILXV2R3HDWRU3FC}

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	2026-05-18T01:08:12.358988Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e03bbef11bfe0485deba8ece3b469b2896d543cb4054d95e2c483d3599ff3afa

Aliases

arxiv: 1512.06892 · arxiv_version: 1512.06892v1 · doi: 10.48550/arxiv.1512.06892 · pith_short_12: 4A5354I37YCI · pith_short_16: 4A5354I37YCILXV2 · pith_short_8: 4A5354I3

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/4A5354I37YCILXV2R3HDWRU3FC \
  | 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: e03bbef11bfe0485deba8ece3b469b2896d543cb4054d95e2c483d3599ff3afa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a065d86c221a574b970cbe58d84d23a178d2f3909644d79c052ce73d50c924a5",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2015-12-21T22:17:17Z",
    "title_canon_sha256": "d6fb07e55fe273cf30208a8a1c9082cb1debb5df933d8cdf8c912630daf8d8ce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.06892",
    "kind": "arxiv",
    "version": 1
  }
}