Pith Number

pith:4W3DU43C

pith:2011:4W3DU43C2TZ2D3CHUGTLQP2AJM

not attested not anchored not stored refs pending

Bifurcation from semi-trivial standing waves and ground states for a system of nonlinear Schr\"{o}dinger equations

Masahito Ohta, Mathieu Colin

arxiv:1102.1545 v1 · 2011-02-08 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4W3DU43C2TZ2D3CHUGTLQP2AJM}

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	2026-05-18T02:44:32.723162Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e5b63a7362d4f3a1ec47a1a6b83f404b179f541fa6476648117b99204d542913

Aliases

arxiv: 1102.1545 · arxiv_version: 1102.1545v1 · doi: 10.48550/arxiv.1102.1545 · pith_short_12: 4W3DU43C2TZ2 · pith_short_16: 4W3DU43C2TZ2D3CH · pith_short_8: 4W3DU43C

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/4W3DU43C2TZ2D3CHUGTLQP2AJM \
  | 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: e5b63a7362d4f3a1ec47a1a6b83f404b179f541fa6476648117b99204d542913

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f09ae9a61d42b27017b1eaaeb2882fe6f6d7d0220b40e980c468f16e0f5057d0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-02-08T09:28:00Z",
    "title_canon_sha256": "c7247a329791974c01b7552b154a4e125251a9855616f95ae5740c85938dafed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.1545",
    "kind": "arxiv",
    "version": 1
  }
}