Pith Number

pith:G7BLKNNB

pith:2012:G7BLKNNBSPF7WBNEFOJRF5LMZG

not attested not anchored not stored refs pending

Continuous dependence for $H^{2}$ critical nonlinear Schr\"{o}dinger equations in high dimensions

Wei Dai

arxiv:1204.0130 v1 · 2012-03-31 · math.AP · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{G7BLKNNBSPF7WBNEFOJRF5LMZG}

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	2026-05-18T03:58:50.288787Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

37c2b535a193cbfb05a42b9312f56cc9af1af12430ebd2e5d596d47a0bd19a89

Aliases

arxiv: 1204.0130 · arxiv_version: 1204.0130v1 · doi: 10.48550/arxiv.1204.0130 · pith_short_12: G7BLKNNBSPF7 · pith_short_16: G7BLKNNBSPF7WBNE · pith_short_8: G7BLKNNB

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/G7BLKNNBSPF7WBNEFOJRF5LMZG \
  | 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: 37c2b535a193cbfb05a42b9312f56cc9af1af12430ebd2e5d596d47a0bd19a89

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0287a8cf35d7780e73f77c8fd6e4f486c8118fda8259ee98150703243eef1a39",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-03-31T20:07:45Z",
    "title_canon_sha256": "103a96610068973a27158fc8946d20423a93c97ed899a8052f899512b0fe2c97"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.0130",
    "kind": "arxiv",
    "version": 1
  }
}