Pith Number

pith:ZZMFTXDI

pith:2013:ZZMFTXDIBAXKOQKBREDZNBAIMS

not attested not anchored not stored refs pending

Null structure in a system of quadratic derivative nonlinear Schr\"odinger equations

Hideaki Sunagawa, Masahiro Ikeda, Soichiro Katayama

arxiv:1305.3662 v1 · 2013-05-16 · 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{ZZMFTXDIBAXKOQKBREDZNBAIMS}

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	2026-05-18T01:30:41.271015Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ce5859dc68082ea74141890796840864a7e0fb37972af01e2d8316567368add0

Aliases

arxiv: 1305.3662 · arxiv_version: 1305.3662v1 · doi: 10.48550/arxiv.1305.3662 · pith_short_12: ZZMFTXDIBAXK · pith_short_16: ZZMFTXDIBAXKOQKB · pith_short_8: ZZMFTXDI

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/ZZMFTXDIBAXKOQKBREDZNBAIMS \
  | 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: ce5859dc68082ea74141890796840864a7e0fb37972af01e2d8316567368add0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d320ab8361bb7ee7c70c555cce6330795e88f683228cbb32f1e16a5ae76bacf0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-05-16T00:22:43Z",
    "title_canon_sha256": "3ad36ebbe4659466efbeaead3ff50a86f4c2d97183a82054f2ff73ca650d8d2e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.3662",
    "kind": "arxiv",
    "version": 1
  }
}