Pith Number

pith:YJCNZMZN

pith:2010:YJCNZMZNDW2YEM42USF6JUV7BO

not attested not anchored not stored refs pending

Supercritical Nonlinear Schr\"odinger equations: Quasi-Periodic Solutions

W.-M. Wang

arxiv:1007.0156 v3 · 2010-07-01 · math.AP · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YJCNZMZNDW2YEM42USF6JUV7BO}

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	2026-05-18T01:12:53.436052Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c244dcb32d1db582339aa48be4d2bf0bb43b39ff69e6fb682496ec88425f89ca

Aliases

arxiv: 1007.0156 · arxiv_version: 1007.0156v3 · doi: 10.48550/arxiv.1007.0156 · pith_short_12: YJCNZMZNDW2Y · pith_short_16: YJCNZMZNDW2YEM42 · pith_short_8: YJCNZMZN

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/YJCNZMZNDW2YEM42USF6JUV7BO \
  | 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: c244dcb32d1db582339aa48be4d2bf0bb43b39ff69e6fb682496ec88425f89ca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cf381dbe4afa832738f8a593777e95a69195b84d1db84b324900bd7548b744ae",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2010-07-01T12:57:17Z",
    "title_canon_sha256": "e9fed9ec7a2153d8e40ead873b97646da9993115eadab8fa61417270bcf745d7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1007.0156",
    "kind": "arxiv",
    "version": 3
  }
}