Pith Number

pith:ZU74ZRRZ

pith:2011:ZU74ZRRZXZMDG7SF7FYTCPEJUJ

not attested not anchored not stored refs pending

The periodic defocusing Ablowitz-Ladik equation and the geometry of Floquet CMV matrices

Irina Nenciu, Luen-Chau Li

arxiv:1103.4596 v1 · 2011-03-23 · math-ph · math.MP · nlin.SI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZU74ZRRZXZMDG7SF7FYTCPEJUJ}

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	2026-05-18T04:26:01.747273Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cd3fccc639be58337e45f971313c89a276b070c3320524aa05c5897c1321c867

Aliases

arxiv: 1103.4596 · arxiv_version: 1103.4596v1 · doi: 10.48550/arxiv.1103.4596 · pith_short_12: ZU74ZRRZXZMD · pith_short_16: ZU74ZRRZXZMDG7SF · pith_short_8: ZU74ZRRZ

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/ZU74ZRRZXZMDG7SF7FYTCPEJUJ \
  | 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: cd3fccc639be58337e45f971313c89a276b070c3320524aa05c5897c1321c867

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "741ce73008666e223d63a826351712597e8cc86c8f28d77af590cc4700278c64",
    "cross_cats_sorted": [
      "math.MP",
      "nlin.SI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-03-23T18:59:17Z",
    "title_canon_sha256": "136e5dfd9c205a6d2c331f82365f7fe83ee7e1c9cd20bd65d888366a257a235d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.4596",
    "kind": "arxiv",
    "version": 1
  }
}