Pith Number

pith:DEJOPWZ5

pith:2022:DEJOPWZ5GOXKMVLUMNBJDQQP6B

not attested not anchored not stored refs pending

Effective Dynamics of the Vector Nonlinear Schr\"odinger Equations on Large Domains

Katherine Zhiyuan Zhang

arxiv:2201.00861 v1 · 2022-01-03 · math.AP · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DEJOPWZ5GOXKMVLUMNBJDQQP6B}

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	2026-07-05T03:45:13.692070Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1912e7db3d33aea65574634291c20ff06c8a746817b4ddfe5d9654b2b6f9d862

Aliases

arxiv: 2201.00861 · arxiv_version: 2201.00861v1 · doi: 10.48550/arxiv.2201.00861 · pith_short_12: DEJOPWZ5GOXK · pith_short_16: DEJOPWZ5GOXKMVLU · pith_short_8: DEJOPWZ5

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/DEJOPWZ5GOXKMVLUMNBJDQQP6B \
  | 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: 1912e7db3d33aea65574634291c20ff06c8a746817b4ddfe5d9654b2b6f9d862

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3f28e78a618148f5d84ec7d81db7989b2961cd83f43bd0eb6c40c929cbfecf0f",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2022-01-03T20:03:18Z",
    "title_canon_sha256": "61070e4b055bc4fa50152d33e4a1152cbca98f5d66820e1bb5f8d3157d73868d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2201.00861",
    "kind": "arxiv",
    "version": 1
  }
}