Pith Number

pith:XGH6OSNM

pith:2021:XGH6OSNMXWTPFA3FT2JUCK2ITJ

not attested not anchored not stored refs pending

On the Well-posedness and Stability of Cubic and Quintic Nonlinear Schr\"odinger Systems on ${\mathbb T}^3$

Amie Urban, Thomas Chen

arxiv:2112.12119 v2 · 2021-12-22 · math-ph · math.AP · 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{XGH6OSNMXWTPFA3FT2JUCK2ITJ}

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	2026-06-09T01:05:02.185419Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b98fe749acbda6f283659e93412b489a4324aebb702f7ee6de58c2d5bcb31ce2

Aliases

arxiv: 2112.12119 · arxiv_version: 2112.12119v2 · doi: 10.48550/arxiv.2112.12119 · pith_short_12: XGH6OSNMXWTP · pith_short_16: XGH6OSNMXWTPFA3F · pith_short_8: XGH6OSNM

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/XGH6OSNMXWTPFA3FT2JUCK2ITJ \
  | 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: b98fe749acbda6f283659e93412b489a4324aebb702f7ee6de58c2d5bcb31ce2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b163aa7116de10c1c4718b0b4cb8a71308e20f9abb3aa9e016a8e80f30f5ebbe",
    "cross_cats_sorted": [
      "math.AP",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2021-12-22T18:31:48Z",
    "title_canon_sha256": "af7893585c2fd493eb65cf8b43f1ddd99f2ed074603d91b9282494343a981b5a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2112.12119",
    "kind": "arxiv",
    "version": 2
  }
}