Pith Number

pith:6LZ6YUDR

pith:2012:6LZ6YUDRXX72DKIIGLUNVI6UWX

not attested not anchored not stored refs pending

Block type symmetry of bigraded Toda Hierarchy

Chuanzhong Li, Jingsong He, Yucai Su

arxiv:1201.1984 v2 · 2012-01-10 · 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{6LZ6YUDRXX72DKIIGLUNVI6UWX}

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	2026-05-18T01:58:53.586475Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f2f3ec5071bdffa1a90832e8daa3d4b5fb591ad79b2369988a5a09ef4c0e026e

Aliases

arxiv: 1201.1984 · arxiv_version: 1201.1984v2 · doi: 10.48550/arxiv.1201.1984 · pith_short_12: 6LZ6YUDRXX72 · pith_short_16: 6LZ6YUDRXX72DKII · pith_short_8: 6LZ6YUDR

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/6LZ6YUDRXX72DKIIGLUNVI6UWX \
  | 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: f2f3ec5071bdffa1a90832e8daa3d4b5fb591ad79b2369988a5a09ef4c0e026e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ef9e6176e75148c43e356a5ed1a89316c209a873f40bd1431d25eec82e513c75",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-01-10T08:20:24Z",
    "title_canon_sha256": "df85cf618aa476e07c2ca7ce9c22ef9386112eef495ad53f986250b08dda068b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.1984",
    "kind": "arxiv",
    "version": 2
  }
}