Pith Number

pith:LEJMQFUQ

pith:2012:LEJMQFUQKLHUSXARKRWE3JZP5O

not attested not anchored not stored refs pending

Interplay between MacDonald and Hall-Littlewood expansions of extended torus superpolynomials

A. Mironov, A. Morozov, A. Sleptsov, Sh. Shakirov

arxiv:1201.3339 v2 · 2012-01-16 · hep-th · math-ph · math.GT · 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{LEJMQFUQKLHUSXARKRWE3JZP5O}

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	2026-05-18T01:58:48.659877Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5912c8169052cf495c11546c4da72febb0fcfa77c38579dade8ce6250de1afe0

Aliases

arxiv: 1201.3339 · arxiv_version: 1201.3339v2 · doi: 10.48550/arxiv.1201.3339 · pith_short_12: LEJMQFUQKLHU · pith_short_16: LEJMQFUQKLHUSXAR · pith_short_8: LEJMQFUQ

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/LEJMQFUQKLHUSXARKRWE3JZP5O \
  | 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: 5912c8169052cf495c11546c4da72febb0fcfa77c38579dade8ce6250de1afe0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f260630a560ae0fc4335ccafa5b766e90b12b36b050535bee7155209523ca703",
    "cross_cats_sorted": [
      "math-ph",
      "math.GT",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2012-01-16T19:10:46Z",
    "title_canon_sha256": "11f93375801e0f5441b1dd63b360c34451b1e15f0509227c097f0e4b8a6c6dbc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.3339",
    "kind": "arxiv",
    "version": 2
  }
}