Pith Number

pith:V4FBIGKN

pith:2012:V4FBIGKNWMWNCJEK65YJGOZI73

not attested not anchored not stored refs pending

Self-trapping transition in nonlinear cubic lattices

Alejandro J. Mart\'inez, Diego Guzm\'an-Silva, Mario I. Molina, Rodrigo A. Vicencio, Uta Naether

arxiv:1212.2936 v2 · 2012-12-12 · nlin.PS · physics.optics

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{V4FBIGKNWMWNCJEK65YJGOZI73}

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	2026-05-18T03:18:51.627372Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

af0a14194db32cd1248af770933b28feee419b2b2532f08432c85751e55a8823

Aliases

arxiv: 1212.2936 · arxiv_version: 1212.2936v2 · doi: 10.48550/arxiv.1212.2936 · pith_short_12: V4FBIGKNWMWN · pith_short_16: V4FBIGKNWMWNCJEK · pith_short_8: V4FBIGKN

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/V4FBIGKNWMWNCJEK65YJGOZI73 \
  | 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: af0a14194db32cd1248af770933b28feee419b2b2532f08432c85751e55a8823

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "19eb46d9187573e050b778d97956b6ee347476c0364ded046df8e7cbffcdbfcd",
    "cross_cats_sorted": [
      "physics.optics"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.PS",
    "submitted_at": "2012-12-12T19:20:32Z",
    "title_canon_sha256": "0734192a00cb8548a77679a1255607f6f088f0ccd8a86a69321c6d90acbb1ef6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.2936",
    "kind": "arxiv",
    "version": 2
  }
}