Pith Number

pith:LOWXR6MF

pith:2021:LOWXR6MFOT3DQHGHDXTLSMWBRC

not attested not anchored not stored refs pending

From KP-I lump solution to travelling waves of Gross-Pitaevskii equation

Juncheng Wei, Wen Yang, Yong Liu, Zhengping Wang

arxiv:2110.15472 v1 · 2021-10-29 · math.AP · math-ph · 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{LOWXR6MFOT3DQHGHDXTLSMWBRC}

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.

Cited by

1 paper in Pith

From KP-I Lump Solution to Travelling wave of 3D Gravity Capillary Water wave problem

Receipt and verification

First computed	2026-07-05T03:27:10.165943Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5bad78f98574f6381cc71de6b932c1889df34078967d4afb56f67159467406b5

Aliases

arxiv: 2110.15472 · arxiv_version: 2110.15472v1 · doi: 10.48550/arxiv.2110.15472 · pith_short_12: LOWXR6MFOT3D · pith_short_16: LOWXR6MFOT3DQHGH · pith_short_8: LOWXR6MF

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/LOWXR6MFOT3DQHGHDXTLSMWBRC \
  | 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: 5bad78f98574f6381cc71de6b932c1889df34078967d4afb56f67159467406b5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e6b2e0b57381ec9baac8ba1f2e1ae4e7ba32ca331ab292b2811e782865f5c5d7",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2021-10-29T00:19:08Z",
    "title_canon_sha256": "5d5a5554563582fe0139b5422665e6080ce1f7ee80dcc7e09c524aef61ab9d0c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2110.15472",
    "kind": "arxiv",
    "version": 1
  }
}