Pith Number

pith:MHC2SAL2

pith:2015:MHC2SAL2DGZTZLR6NHXKGLJJI2

not attested not anchored not stored refs pending

Local well-posedness of the nonlinear Schr\"odinger equations on the sphere for data in modulation spaces

Hideo Takaoka

arxiv:1502.04283 v1 · 2015-02-15 · 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{MHC2SAL2DGZTZLR6NHXKGLJJI2}

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	2026-05-18T02:27:00.055296Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

61c5a9017a19b33cae3e69eea32d2946a05827774cc4de6fe520e3738ece9d02

Aliases

arxiv: 1502.04283 · arxiv_version: 1502.04283v1 · doi: 10.48550/arxiv.1502.04283 · pith_short_12: MHC2SAL2DGZT · pith_short_16: MHC2SAL2DGZTZLR6 · pith_short_8: MHC2SAL2

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/MHC2SAL2DGZTZLR6NHXKGLJJI2 \
  | 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: 61c5a9017a19b33cae3e69eea32d2946a05827774cc4de6fe520e3738ece9d02

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "15c6546c65cd74785ebd0399de563e9a8ab29556d5c1a6eb7f6f93d6b6373296",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-02-15T06:09:38Z",
    "title_canon_sha256": "3a931064e22598892488a81a98f5fe2162265f81e545354356353e1fde7ffdf9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.04283",
    "kind": "arxiv",
    "version": 1
  }
}