Pith Number

pith:7WS6DFFE

pith:2012:7WS6DFFEU3QRCCKXGXGDHM4YTM

not attested not anchored not stored refs pending

Infinitely many sign-changing and semi-nodal solutions for a nonlinear Schrodinger system

Chang-shou Lin, Wenming Zou, Zhijie Chen

arxiv:1212.3773 v2 · 2012-12-16 · 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{7WS6DFFEU3QRCCKXGXGDHM4YTM}

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	2026-05-18T02:42:06.267901Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fda5e194a4a6e111095735cc33b3989b13a68fc7ec74f797ea51e916f1ff5f20

Aliases

arxiv: 1212.3773 · arxiv_version: 1212.3773v2 · doi: 10.48550/arxiv.1212.3773 · pith_short_12: 7WS6DFFEU3QR · pith_short_16: 7WS6DFFEU3QRCCKX · pith_short_8: 7WS6DFFE

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/7WS6DFFEU3QRCCKXGXGDHM4YTM \
  | 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: fda5e194a4a6e111095735cc33b3989b13a68fc7ec74f797ea51e916f1ff5f20

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cf5ec9a3d4a89021ca413663deee27e93fb4b8167e8b28134672e9cbaaf617c6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-12-16T10:44:45Z",
    "title_canon_sha256": "35264144da404aba99df2ad01bea6795abf60603b86656dcbeb61b1fc6da857d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.3773",
    "kind": "arxiv",
    "version": 2
  }
}