Pith Number

pith:XHWG4QPO

pith:2019:XHWG4QPOUPHS636XY2RUARNPGB

not attested not anchored not stored refs pending

Symmetric functions in superspace: a compendium of results and open problems (including a SageMath worksheet)

Luc Lapointe, Ludovic Alarie-Vezina, Olivier Blondeau-Fournier, Patrick Desrosiers, Pierre Mathieu

arxiv:1903.07777 v1 · 2019-03-19 · math-ph · hep-th · math.CO · 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{XHWG4QPOUPHS636XY2RUARNPGB}

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.

Cited by

1 paper in Pith

Shifted quantum toroidal algebra of type $\mathfrak{gl}_{1|1}$ and the Pieri rule of the super Macdonald polynomials

Receipt and verification

First computed	2026-05-17T23:50:53.991754Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b9ec6e41eea3cf2f6fd7c6a34045af304abdb45270389eb8ddef37c9d1b97db9

Aliases

arxiv: 1903.07777 · arxiv_version: 1903.07777v1 · doi: 10.48550/arxiv.1903.07777 · pith_short_12: XHWG4QPOUPHS · pith_short_16: XHWG4QPOUPHS636X · pith_short_8: XHWG4QPO

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/XHWG4QPOUPHS636XY2RUARNPGB \
  | 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: b9ec6e41eea3cf2f6fd7c6a34045af304abdb45270389eb8ddef37c9d1b97db9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4252c9df646cb43d7421f1c9e2f0fb7f6b4fdc42b5da272ddd23592de0816a7d",
    "cross_cats_sorted": [
      "hep-th",
      "math.CO",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2019-03-19T00:26:25Z",
    "title_canon_sha256": "434ba843a53d4c1503f8221dc8818c2bd944e969a575750658a34016336074fb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.07777",
    "kind": "arxiv",
    "version": 1
  }
}