Pith Number

pith:LHGQF6HA

pith:2022:LHGQF6HAW3X6KIS4IZ22CDJ7KQ

not attested not anchored not stored refs pending

Long-time asymptotics for a fourth-order dispersive nonlinear Schr\"{o}dinger equation with nonzero boundary conditions

Weiqi Peng, Yong Chen

arxiv:2207.07849 v2 · 2022-07-16 · math.AP · 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{LHGQF6HAW3X6KIS4IZ22CDJ7KQ}

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	2026-07-05T05:09:20.338924Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

59cd02f8e0b6efe5225c4675a10d3f542307eaa703c9c0bb9bb9b5f424e1c278

Aliases

arxiv: 2207.07849 · arxiv_version: 2207.07849v2 · doi: 10.48550/arxiv.2207.07849 · pith_short_12: LHGQF6HAW3X6 · pith_short_16: LHGQF6HAW3X6KIS4 · pith_short_8: LHGQF6HA

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/LHGQF6HAW3X6KIS4IZ22CDJ7KQ \
  | 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: 59cd02f8e0b6efe5225c4675a10d3f542307eaa703c9c0bb9bb9b5f424e1c278

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b4dfb2ef39bd2694a6f61e5cb4d0b2a77c21835d498f38a65940916cc2893dba",
    "cross_cats_sorted": [
      "nlin.SI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2022-07-16T06:03:47Z",
    "title_canon_sha256": "60ae4b3e55fb5a07312519deb1faf5e524f7bb1d69473179ee18fc358251d0ed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2207.07849",
    "kind": "arxiv",
    "version": 2
  }
}