Pith Number

pith:MT47WKVK

pith:2026:MT47WKVKMLXXPLUNPEL63ZHKFX

not attested not anchored not stored refs pending

Long-time asymptotics of a full arbitrary-genus dark soliton gas for the defocusing nonlinear Schrodinger equation

Dedi Yan, Mingming Chen, Xianguo Geng

arxiv:2606.22438 v1 · 2026-06-21 · nlin.SI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MT47WKVKMLXXPLUNPEL63ZHKFX}

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	2026-06-23T02:13:38.441126Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

64f9fb2aaa62ef77ae8d7917ede4ea2de8b24125d03d51a9e58343cd4314b3a3

Aliases

arxiv: 2606.22438 · arxiv_version: 2606.22438v1 · doi: 10.48550/arxiv.2606.22438 · pith_short_12: MT47WKVKMLXX · pith_short_16: MT47WKVKMLXXPLUN · pith_short_8: MT47WKVK

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/MT47WKVKMLXXPLUNPEL63ZHKFX \
  | 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: 64f9fb2aaa62ef77ae8d7917ede4ea2de8b24125d03d51a9e58343cd4314b3a3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ec3a1f74514b7a6a6591f50921451daa7102774c9086b4eafdab1442460c5ed4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.SI",
    "submitted_at": "2026-06-21T11:04:54Z",
    "title_canon_sha256": "c87a578b6d6ec12b168a51930da71f5d99acf8213d9d1b94cd50b7dc6918a71b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.22438",
    "kind": "arxiv",
    "version": 1
  }
}