Pith Number

pith:2Z7PPUY4

pith:2013:2Z7PPUY4NB2CWGQP5L5HIEPRFG

not attested not anchored not stored refs pending

The Analyticity Breakdown for Frenkel-Kontorova Models in Quasi-periodic Media: Numerical Explorations

Rafael de la Llave, Timothy Blass

arxiv:1301.0823 v1 · 2013-01-04 · math-ph · math.DS · 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{2Z7PPUY4NB2CWGQP5L5HIEPRFG}

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	2026-05-18T01:52:21.466054Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d67ef7d31c68742b1a0feafa7411f129a090a8a5986b1babfd3a14b609f8ae81

Aliases

arxiv: 1301.0823 · arxiv_version: 1301.0823v1 · doi: 10.48550/arxiv.1301.0823 · pith_short_12: 2Z7PPUY4NB2C · pith_short_16: 2Z7PPUY4NB2CWGQP · pith_short_8: 2Z7PPUY4

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/2Z7PPUY4NB2CWGQP5L5HIEPRFG \
  | 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: d67ef7d31c68742b1a0feafa7411f129a090a8a5986b1babfd3a14b609f8ae81

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e0d19beb3dec3aff7df64c1a5a3fa3a3b1dbaebadbed68d10c070699fa2e325c",
    "cross_cats_sorted": [
      "math.DS",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2013-01-04T20:47:42Z",
    "title_canon_sha256": "bc3a79bbc5f5ba8fc307ea0c7b2217c47cf37a9441ed6e92f49d5a1aa6202470"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.0823",
    "kind": "arxiv",
    "version": 1
  }
}