Pith Number

pith:GVFDAGDJ

pith:2015:GVFDAGDJWK25OVLGLQG3N5MEK6

not attested not anchored not stored refs pending

Classical W-algebras for gl_N and associated integrable Hamiltonian hierarchies

Alberto De Sole, Daniele Valeri, Victor G. Kac

arxiv:1509.06878 v3 · 2015-09-23 · math-ph · math.MP · math.RA · math.RT · nlin.SI

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GVFDAGDJWK25OVLGLQG3N5MEK6}

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	2026-05-18T01:03:20.259139Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

354a301869b2b5d755665c0db6f584579893b70abe61652b8011e61cb7107916

Aliases

arxiv: 1509.06878 · arxiv_version: 1509.06878v3 · doi: 10.48550/arxiv.1509.06878 · pith_short_12: GVFDAGDJWK25 · pith_short_16: GVFDAGDJWK25OVLG · pith_short_8: GVFDAGDJ

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/GVFDAGDJWK25OVLGLQG3N5MEK6 \
  | 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: 354a301869b2b5d755665c0db6f584579893b70abe61652b8011e61cb7107916

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1af4fe5dcc25c7c3acaf65f96a720dbe91b005f6d3c706bf7e544f394d0a49ed",
    "cross_cats_sorted": [
      "math.MP",
      "math.RA",
      "math.RT",
      "nlin.SI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2015-09-23T08:24:19Z",
    "title_canon_sha256": "d792ebe1dcee6f376f4433f1798d2f5ea845c500ddc77f613a6b4173855182bc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.06878",
    "kind": "arxiv",
    "version": 3
  }
}