Pith Number

pith:F6AR6LZ7

pith:2019:F6AR6LZ7C5J3HGWRQ2FU7JE7M5

not attested not anchored not stored refs pending

Symmetries and reductions on the noncommutative Kadomtsev-Petviashvili and Gelfand-Dickey hierarchies

Chuanzhong Li

arxiv:1907.04169 v1 · 2019-07-09 · 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{F6AR6LZ7C5J3HGWRQ2FU7JE7M5}

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	2026-05-17T23:40:29.679943Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2f811f2f3f1753b39ad1868b4fa49f67542b2a1629571ce2a84ec6091a47bb07

Aliases

arxiv: 1907.04169 · arxiv_version: 1907.04169v1 · doi: 10.48550/arxiv.1907.04169 · pith_short_12: F6AR6LZ7C5J3 · pith_short_16: F6AR6LZ7C5J3HGWR · pith_short_8: F6AR6LZ7

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/F6AR6LZ7C5J3HGWRQ2FU7JE7M5 \
  | 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: 2f811f2f3f1753b39ad1868b4fa49f67542b2a1629571ce2a84ec6091a47bb07

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "754b98f3d2917954923afa5aae8c25aa96f50c0d50e39e4db6f65e356c10e86b",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.SI",
    "submitted_at": "2019-07-09T13:56:04Z",
    "title_canon_sha256": "9f9027c6aa54cbaef7fd3f87574eccd4ecefe11bbe8a51c443ec3ce594b82f7b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.04169",
    "kind": "arxiv",
    "version": 1
  }
}