Pith Number

pith:RKH23NFF

pith:2013:RKH23NFFJELIXURM3WXVTZ5HOO

not attested not anchored not stored refs pending

Local well-posedness for the $H^2$-critical nonlinear Schr\"odinger equation

Daoyuan Fang, Thierry Cazenave, Zheng Han

arxiv:1304.5564 v1 · 2013-04-20 · 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{RKH23NFFJELIXURM3WXVTZ5HOO}

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	2026-05-18T03:27:31.651497Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8a8fadb4a549168bd22cddaf59e7a773865e2e7d1aaee459a3cfc01d48fb828a

Aliases

arxiv: 1304.5564 · arxiv_version: 1304.5564v1 · doi: 10.48550/arxiv.1304.5564 · pith_short_12: RKH23NFFJELI · pith_short_16: RKH23NFFJELIXURM · pith_short_8: RKH23NFF

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/RKH23NFFJELIXURM3WXVTZ5HOO \
  | 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: 8a8fadb4a549168bd22cddaf59e7a773865e2e7d1aaee459a3cfc01d48fb828a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5a2bffb62a38b4078fd21b9b6e45f14c9c6c016bf52e1064637524c8e8fbab9b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-04-20T00:03:59Z",
    "title_canon_sha256": "f0df3a2f5617d42b67b5a8f056ae92ec6427a95092a74a114c1c530cec29d72e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.5564",
    "kind": "arxiv",
    "version": 1
  }
}