Pith Number

pith:HP27X6MV

pith:2011:HP27X6MVI72JOBX6IEBVYNXDCH

not attested not anchored not stored refs pending

Poincar\'e-Dulac normal form reduction for unconditional well-posedness of the periodic cubic NLS

Soonsik Kwon, Tadahiro Oh, Zihua Guo

arxiv:1103.5271 v3 · 2011-03-28 · 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{HP27X6MVI72JOBX6IEBVYNXDCH}

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	2026-05-18T04:13:57.313566Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3bf5fbf99547f49706fe41035c36e311c0e43fdd724d13f5184771b06ee578f7

Aliases

arxiv: 1103.5271 · arxiv_version: 1103.5271v3 · doi: 10.48550/arxiv.1103.5271 · pith_short_12: HP27X6MVI72J · pith_short_16: HP27X6MVI72JOBX6 · pith_short_8: HP27X6MV

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/HP27X6MVI72JOBX6IEBVYNXDCH \
  | 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: 3bf5fbf99547f49706fe41035c36e311c0e43fdd724d13f5184771b06ee578f7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fd9335e592f859d2760681a20d181abf92ddfe8687b7de179975c85ba53ce9f0",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-03-28T02:11:49Z",
    "title_canon_sha256": "f3a319f4387fdd0f9fe334fedcfb843d132b541ca0a1c6da2525ad6a039a6a05"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.5271",
    "kind": "arxiv",
    "version": 3
  }
}