Pith Number

pith:6GQVRPGH

pith:2024:6GQVRPGHYRT3WYO53DWIXBJG4I

not attested not anchored not stored refs pending

The focusing complex mKdV equation with nonzero background: Large $N$-order asymptotics of multi-rational solitons and related Painlev\'{e}-III hierarchy

Guoqiang Zhang, Weifang Weng, Zhenya Yan

arxiv:2412.11581 v1 · 2024-12-16 · nlin.SI · math-ph · math.AP · math.MP · nlin.PS · physics.optics

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6GQVRPGHYRT3WYO53DWIXBJG4I}

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	2026-07-05T09:49:48.063013Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f1a158bcc7c467bb61ddd8ec8b8526e20740b4a793df1d1856c5004bea192871

Aliases

arxiv: 2412.11581 · arxiv_version: 2412.11581v1 · doi: 10.48550/arxiv.2412.11581 · pith_short_12: 6GQVRPGHYRT3 · pith_short_16: 6GQVRPGHYRT3WYO5 · pith_short_8: 6GQVRPGH

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/6GQVRPGHYRT3WYO53DWIXBJG4I \
  | 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: f1a158bcc7c467bb61ddd8ec8b8526e20740b4a793df1d1856c5004bea192871

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0428eb423141fca52bc1a158daf8deb24c9379724328a88bb407d06830dac50a",
    "cross_cats_sorted": [
      "math-ph",
      "math.AP",
      "math.MP",
      "nlin.PS",
      "physics.optics"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.SI",
    "submitted_at": "2024-12-16T09:14:06Z",
    "title_canon_sha256": "fae35514b6f21395732329044b0c8980967875e67a755b06ef3f60e93b7ed553"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.11581",
    "kind": "arxiv",
    "version": 1
  }
}