Pith Number

pith:VPXYBTKL

pith:2026:VPXYBTKL3VXCBOAGENMPLJCJ7G

not attested not anchored not stored refs pending

Bihamiltonian structure of the $(n,1)$-type rational reductions of the 2D-Toda hierarchy

Haonan Qu, Qiulan Zhao

arxiv:2606.23167 v1 · 2026-06-22 · nlin.SI · math-ph · math.DG · 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{VPXYBTKL3VXCBOAGENMPLJCJ7G}

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	2026-06-23T03:14:11.875977Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

abef80cd4bdd6e20b8062358f5a449f99a95c4d84299c40d8540dd7a41647e3d

Aliases

arxiv: 2606.23167 · arxiv_version: 2606.23167v1 · doi: 10.48550/arxiv.2606.23167 · pith_short_12: VPXYBTKL3VXC · pith_short_16: VPXYBTKL3VXCBOAG · pith_short_8: VPXYBTKL

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/VPXYBTKL3VXCBOAGENMPLJCJ7G \
  | 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: abef80cd4bdd6e20b8062358f5a449f99a95c4d84299c40d8540dd7a41647e3d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "175517f2b7073190eeb441eef3269785f73505e885f6f3d4b0a7801bccde46d7",
    "cross_cats_sorted": [
      "math-ph",
      "math.DG",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.SI",
    "submitted_at": "2026-06-22T11:08:44Z",
    "title_canon_sha256": "ca7125691809eeb8b973cc9c4cbe4073236e4cdd7a18a17c625dfcb0c50c4dfa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.23167",
    "kind": "arxiv",
    "version": 1
  }
}