Pith Number

pith:3LQQSNI3

pith:2021:3LQQSNI32M37BNC6L4RIJ2YYCQ

not attested not anchored not stored refs pending

Scattering for the defocusing, cubic nonlinear Schr{\"o}dinger equation with initial data in a critical space

Benjamin Dodson

arxiv:2110.06987 v1 · 2021-10-13 · 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{3LQQSNI32M37BNC6L4RIJ2YYCQ}

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	2026-07-05T03:22:37.886027Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dae109351bd337f0b45e5f2284eb181416a6cee553b3c8a44b4c7fde92b97cb7

Aliases

arxiv: 2110.06987 · arxiv_version: 2110.06987v1 · doi: 10.48550/arxiv.2110.06987 · pith_short_12: 3LQQSNI32M37 · pith_short_16: 3LQQSNI32M37BNC6 · pith_short_8: 3LQQSNI3

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/3LQQSNI32M37BNC6L4RIJ2YYCQ \
  | 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: dae109351bd337f0b45e5f2284eb181416a6cee553b3c8a44b4c7fde92b97cb7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "56c955768e3fb62b923c3f8479e680898dc3f3408bcdc31f594b96f5a4c3d9b7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2021-10-13T19:02:28Z",
    "title_canon_sha256": "b700aa2998487411f4141ebd28873b6f77b4da00343e08fcc3c485de749fd977"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2110.06987",
    "kind": "arxiv",
    "version": 1
  }
}