Pith Number

pith:YBU76C4J

pith:2013:YBU76C4J2HJ25I7HIA2LBXPSHL

not attested not anchored not stored refs pending

A remark on decay rates of solutions for a system of quadratic nonlinear Schr\"odinger equations in 2D

Chunhua Li, Hideaki Sunagawa, Soichiro Katayama

arxiv:1304.1588 v2 · 2013-04-05 · 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{YBU76C4J2HJ25I7HIA2LBXPSHL}

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	2026-05-18T03:26:33.406095Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c069ff0b89d1d3aea3e74034b0ddf23af26ca78eb215b46323805722015209ba

Aliases

arxiv: 1304.1588 · arxiv_version: 1304.1588v2 · doi: 10.48550/arxiv.1304.1588 · pith_short_12: YBU76C4J2HJ2 · pith_short_16: YBU76C4J2HJ25I7H · pith_short_8: YBU76C4J

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/YBU76C4J2HJ25I7HIA2LBXPSHL \
  | 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: c069ff0b89d1d3aea3e74034b0ddf23af26ca78eb215b46323805722015209ba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "623041052ebe0ea69229bcb84b08e0f56874cb32f51e30baabc1059ad69e5611",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-04-05T00:34:22Z",
    "title_canon_sha256": "0d65671ab29e5a476fd8228d43452397f702643a072b1ae11be2c9dfaae9eb2e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.1588",
    "kind": "arxiv",
    "version": 2
  }
}