Pith Number

pith:FWBBRHVX

pith:2026:FWBBRHVXIL55ZTBQCMEC3MBIL7

not attested not anchored not stored refs pending

Long-time asymptotic behavior for the defocusing Hirota equation on a finite-genus algebro-geometric background

Guoqiang Zhang, Taohua Luo, Zhenya Yan

arxiv:2607.19119 v1 · 2026-07-21 · 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{FWBBRHVXIL55ZTBQCMEC3MBIL7}

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	2026-07-22T01:24:09.600699Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2d82189eb742fbdccc3013082db0285fd9db50388327b8445398647649c880d7

Aliases

arxiv: 2607.19119 · arxiv_version: 2607.19119v1 · doi: 10.48550/arxiv.2607.19119 · pith_short_12: FWBBRHVXIL55 · pith_short_16: FWBBRHVXIL55ZTBQ · pith_short_8: FWBBRHVX

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/FWBBRHVXIL55ZTBQCMEC3MBIL7 \
  | 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: 2d82189eb742fbdccc3013082db0285fd9db50388327b8445398647649c880d7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "71fad38e3ab2718f5bf61a52bf98b34d3d8ad396a65c1ab7373e7a81135d8034",
    "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": "2026-07-21T14:05:58Z",
    "title_canon_sha256": "1c853569302546f9d3dc2b680be647b271a73e756dcc5e37b5e59470c54f8a31"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.19119",
    "kind": "arxiv",
    "version": 1
  }
}