Pith Number

pith:SPNX6OLC

pith:2021:SPNX6OLC5H7EQUEZGDDMA3JDVY

not attested not anchored not stored refs pending

The leading coefficient of Lascoux polynomials

Alessio Borz\'i, Harshit J. Motwani, Lorenzo Venturello, Martin Vodi\v{c}ka, Xiangying Chen

arxiv:2106.13104 v2 · 2021-06-24 · math.AG · math.CO · math.OC · math.ST · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SPNX6OLC5H7EQUEZGDDMA3JDVY}

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	2026-07-05T02:55:16.861581Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

93db7f3962e9fe48509930c6c06d23ae21039972c4ebcb08f7a3874b44300c26

Aliases

arxiv: 2106.13104 · arxiv_version: 2106.13104v2 · doi: 10.48550/arxiv.2106.13104 · pith_short_12: SPNX6OLC5H7E · pith_short_16: SPNX6OLC5H7EQUEZ · pith_short_8: SPNX6OLC

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/SPNX6OLC5H7EQUEZGDDMA3JDVY \
  | 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: 93db7f3962e9fe48509930c6c06d23ae21039972c4ebcb08f7a3874b44300c26

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b5661b822a1d3fc69623e7dedd33d7af72046b75b4ab33a54e715dcf0c76eaf1",
    "cross_cats_sorted": [
      "math.CO",
      "math.OC",
      "math.ST",
      "stat.TH"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2021-06-24T15:39:49Z",
    "title_canon_sha256": "26ef9f8306b2680e6c62807d7375763b6f6beabc8ef6277ea421687d579b2f66"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2106.13104",
    "kind": "arxiv",
    "version": 2
  }
}