Pith Number

pith:NUFNL3PA

pith:2026:NUFNL3PAAO2W6QAIM2UEZEYDRX

not attested not anchored not stored refs pending

Factorization of Schur polynomials twisted by roots of unity and a reciprocal pair

Carles Mar\'in

arxiv:2608.09619 v1 · 2026-08-10 · math.CO · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NUFNL3PAAO2W6QAIM2UEZEYDRX}

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	2026-08-11T02:24:37.958309Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6d0ad5ede003b56f400866a84c93038dd8071837fb752bbb36b2d007133af45d

Aliases

arxiv: 2608.09619 · arxiv_version: 2608.09619v1 · doi: 10.48550/arxiv.2608.09619 · pith_short_12: NUFNL3PAAO2W · pith_short_16: NUFNL3PAAO2W6QAI · pith_short_8: NUFNL3PA

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/NUFNL3PAAO2W6QAIM2UEZEYDRX \
  | 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: 6d0ad5ede003b56f400866a84c93038dd8071837fb752bbb36b2d007133af45d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1020012255253e77a6a448aab9f27681ed34558fe6a246d064b8908e856f5ed4",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-08-10T13:58:23Z",
    "title_canon_sha256": "1ec06a874b131137c7b6d9a8bcadee94042161e12a185ff539bbc0390c9a2141"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.09619",
    "kind": "arxiv",
    "version": 1
  }
}