Pith Number

pith:NLFDC5ND

pith:2013:NLFDC5NDMPORZJ27SKKVNH2ROJ

not attested not anchored not stored refs pending

Frequency dependence of H\"older continuity for quasiperiodic Schr\"odinger operators

Paul Munger

arxiv:1310.8553 v2 · 2013-10-31 · 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{NLFDC5NDMPORZJ27SKKVNH2ROJ}

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	2026-05-18T03:04:23.806578Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6aca3175a363dd1ca75f9295569f51727901fa3aac1188a42ae7cefbb9c45461

Aliases

arxiv: 1310.8553 · arxiv_version: 1310.8553v2 · doi: 10.48550/arxiv.1310.8553 · pith_short_12: NLFDC5NDMPOR · pith_short_16: NLFDC5NDMPORZJ27 · pith_short_8: NLFDC5ND

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/NLFDC5NDMPORZJ27SKKVNH2ROJ \
  | 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: 6aca3175a363dd1ca75f9295569f51727901fa3aac1188a42ae7cefbb9c45461

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6655b0581a935b16cf0fc39e8d5a07847561338688246758f82a7572b9c4eac1",
    "cross_cats_sorted": [
      "math.MP",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2013-10-31T15:44:54Z",
    "title_canon_sha256": "be04d3b78580adb6cc09f420f75e1ec0e31a98d15a2e250266da2f68eaf75b17"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.8553",
    "kind": "arxiv",
    "version": 2
  }
}