Pith Number

pith:WZN3MARC

pith:2017:WZN3MARCKHDCSQPNVOJDBVQHLZ

not attested not anchored not stored refs pending

Blow-up of solutions for weakly coupled systems of complex Ginzburg-Landau equations

Kazumasa Fujiwara, Masahiro Ikeda, Yuta Wakasugi

arxiv:1707.07109 v1 · 2017-07-22 · 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{WZN3MARCKHDCSQPNVOJDBVQHLZ}

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	2026-05-18T00:38:20.406361Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b65bb6022251c62941edab9230d6075e6f0ea58f59fe545675fd70cfe40171cf

Aliases

arxiv: 1707.07109 · arxiv_version: 1707.07109v1 · doi: 10.48550/arxiv.1707.07109 · pith_short_12: WZN3MARCKHDC · pith_short_16: WZN3MARCKHDCSQPN · pith_short_8: WZN3MARC

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/WZN3MARCKHDCSQPNVOJDBVQHLZ \
  | 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: b65bb6022251c62941edab9230d6075e6f0ea58f59fe545675fd70cfe40171cf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7fe2184da08d940e02c082a48a8f8bd033dc08550813f24b77d9232c6f3d0c97",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-07-22T06:18:06Z",
    "title_canon_sha256": "7d9621043f4e0ecb5dd0b29748fd5ebe0b64fe0da841a05dcbd0b5772f6e458c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.07109",
    "kind": "arxiv",
    "version": 1
  }
}