Pith Number

pith:PB7CKBLJ

pith:2025:PB7CKBLJJ4ZAVSKRIF6J3OUREC

not attested not anchored not stored refs pending

Breather-to-soliton transitions and nonlinear wave interactions for the higher-order generalized Gerdjikov-Ivanov equation

Minghe Zhang, Yanan Wang

arxiv:2506.23067 v2 · 2025-06-29 · nlin.PS · math-ph · math.MP · 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{PB7CKBLJJ4ZAVSKRIF6J3OUREC}

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	2026-07-05T11:52:21.728001Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

787e2505694f320ac951417c9dba9120856bb29e9bb99e3273473679a160b97d

Aliases

arxiv: 2506.23067 · arxiv_version: 2506.23067v2 · doi: 10.48550/arxiv.2506.23067 · pith_short_12: PB7CKBLJJ4ZA · pith_short_16: PB7CKBLJJ4ZAVSKR · pith_short_8: PB7CKBLJ

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/PB7CKBLJJ4ZAVSKRIF6J3OUREC \
  | 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: 787e2505694f320ac951417c9dba9120856bb29e9bb99e3273473679a160b97d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e236a7ab8a77c0104673df30d43092a92388544e920865b26c752e527ffd8c52",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "nlin.SI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.PS",
    "submitted_at": "2025-06-29T02:58:22Z",
    "title_canon_sha256": "4bb4635152cc6f070d4cf64433460af842d35e0cc55b335cd10b756671f5f1a7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.23067",
    "kind": "arxiv",
    "version": 2
  }
}