Pith Number

pith:VQC6JNUK

pith:2010:VQC6JNUK35HECKC2Y4JHX2IV3M

not attested not anchored not stored refs pending

Recursion operators for KP, mKP and Harry-Dym Hierarchies

Jingsong He, Jipeng Cheng, Lihong Wang

arxiv:1010.0780 v1 · 2010-10-05 · nlin.SI · math-ph · 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{VQC6JNUK35HECKC2Y4JHX2IV3M}

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	2026-05-18T02:05:11.445455Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ac05e4b68adf4e41285ac7127be915db35b80fa2712907073e0b192d977dbc40

Aliases

arxiv: 1010.0780 · arxiv_version: 1010.0780v1 · doi: 10.48550/arxiv.1010.0780 · pith_short_12: VQC6JNUK35HE · pith_short_16: VQC6JNUK35HECKC2 · pith_short_8: VQC6JNUK

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/VQC6JNUK35HECKC2Y4JHX2IV3M \
  | 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: ac05e4b68adf4e41285ac7127be915db35b80fa2712907073e0b192d977dbc40

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "13f94a45826652158dbacea30fba0f9b1e162384721abfd4fa4e41b91376740e",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.SI",
    "submitted_at": "2010-10-05T07:09:54Z",
    "title_canon_sha256": "afc8efdfcb89a06e1521537c6f4b2e69426fcd6d265dd7c96933b3dfe62053c6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.0780",
    "kind": "arxiv",
    "version": 1
  }
}