Pith Number

pith:Q5WMSGUD

pith:2010:Q5WMSGUDJ23OLUHHY4BL2BHCLF

not attested not anchored not stored refs pending

Anomalous localisation in the aperiodic Kronig-Penney model

F. M. Izrailev, J. C. Hern\'andez-Herrej\'on, L. Tessieri

arxiv:1004.4925 v2 · 2010-04-27 · cond-mat.dis-nn

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Q5WMSGUDJ23OLUHHY4BL2BHCLF}

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	2026-05-18T04:39:51.216433Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

876cc91a834eb6e5d0e7c702bd04e2595264990e3ba3668373a7e607b9677ab1

Aliases

arxiv: 1004.4925 · arxiv_version: 1004.4925v2 · doi: 10.48550/arxiv.1004.4925 · pith_short_12: Q5WMSGUDJ23O · pith_short_16: Q5WMSGUDJ23OLUHH · pith_short_8: Q5WMSGUD

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/Q5WMSGUDJ23OLUHHY4BL2BHCLF \
  | 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: 876cc91a834eb6e5d0e7c702bd04e2595264990e3ba3668373a7e607b9677ab1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6923319e9c6cd6085bdb92d9c4ee5338782546a14cdc44fe6d947d3cd6fc0aef",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.dis-nn",
    "submitted_at": "2010-04-27T23:27:15Z",
    "title_canon_sha256": "89859928dbacbae74f1873ee7dbe688478ae22cbe79c63f9f44754581dcb21c1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1004.4925",
    "kind": "arxiv",
    "version": 2
  }
}