Pith Number

pith:J4VF5LIU

pith:2010:J4VF5LIUXQDL744PL5OAMJWYWW

not attested not anchored not stored refs pending

Continuous dependence for NLS in fractional order spaces

Daoyuan Fang, Thierry Cazenave, Zheng Han

arxiv:1006.2745 v2 · 2010-06-14 · 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{J4VF5LIUXQDL744PL5OAMJWYWW}

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	2026-05-18T03:35:41.583257Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4f2a5ead14bc06bff38f5f5c0626d8b59433097126b7cfdde4e3b40a6b5882ff

Aliases

arxiv: 1006.2745 · arxiv_version: 1006.2745v2 · doi: 10.48550/arxiv.1006.2745 · pith_short_12: J4VF5LIUXQDL · pith_short_16: J4VF5LIUXQDL744P · pith_short_8: J4VF5LIU

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/J4VF5LIUXQDL744PL5OAMJWYWW \
  | 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: 4f2a5ead14bc06bff38f5f5c0626d8b59433097126b7cfdde4e3b40a6b5882ff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "396f14148dd158f6a1e772f6e973a73080cbe8788c4f4f285f58c63a6269e858",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2010-06-14T15:46:16Z",
    "title_canon_sha256": "164a7f7603f74219da7864423433a9168d81905100c5605478b840d70bab03fc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1006.2745",
    "kind": "arxiv",
    "version": 2
  }
}