Pith Number

pith:ORQRQUSZ

pith:2026:ORQRQUSZ7GYGTE5BP7AYYTEFWT

not attested not anchored not stored refs pending

The V/L recursion for Macdonald's 7th Variation Schur polynomials

Darij Grinberg

arxiv:2605.26775 v1 · 2026-05-26 · math.CO · math.NT · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ORQRQUSZ7GYGTE5BP7AYYTEFWT}

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	2026-05-27T01:06:12.019484Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7461185259f9b06993a17fc18c4c85b4e59240211c2a61d1f6fbc02889422ebb

Aliases

arxiv: 2605.26775 · arxiv_version: 2605.26775v1 · doi: 10.48550/arxiv.2605.26775 · pith_short_12: ORQRQUSZ7GYG · pith_short_16: ORQRQUSZ7GYGTE5B · pith_short_8: ORQRQUSZ

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/ORQRQUSZ7GYGTE5BP7AYYTEFWT \
  | 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: 7461185259f9b06993a17fc18c4c85b4e59240211c2a61d1f6fbc02889422ebb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d2fe9b488f16da804af711a342a05584de05360143d7b016ba3c2b53883a1601",
    "cross_cats_sorted": [
      "math.NT",
      "math.RA"
    ],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-05-26T09:46:02Z",
    "title_canon_sha256": "80b41b236dbe7081257929bca6a49f6bba0f4fdc4be31dee319e50c7a0adfdf4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.26775",
    "kind": "arxiv",
    "version": 1
  }
}