Pith Number

pith:6QLR3MKH

pith:2021:6QLR3MKHSTOPFHLRNVAO3XQTOX

not attested not anchored not stored refs pending

Shuffle algebras, lattice paths and the commuting scheme

Alexandr Garbali, Paul Zinn-Justin

arxiv:2110.07155 v2 · 2021-10-14 · math.RT · math-ph · math.AG · 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{6QLR3MKHSTOPFHLRNVAO3XQTOX}

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

Generic pipe dreams, lower-upper varieties, and Schwartz-MacPherson classes

Receipt and verification

First computed	2026-07-05T03:56:31.713814Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f4171db14794dcf29d716d40edde1375c02152f38c95efa21073064e054de3c8

Aliases

arxiv: 2110.07155 · arxiv_version: 2110.07155v2 · doi: 10.48550/arxiv.2110.07155 · pith_short_12: 6QLR3MKHSTOP · pith_short_16: 6QLR3MKHSTOPFHLR · pith_short_8: 6QLR3MKH

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/6QLR3MKHSTOPFHLRNVAO3XQTOX \
  | 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: f4171db14794dcf29d716d40edde1375c02152f38c95efa21073064e054de3c8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "63b74426c2346b3f5b842294e49ea9f2178def6c349d9f68276c7771df681f55",
    "cross_cats_sorted": [
      "math-ph",
      "math.AG",
      "math.MP"
    ],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2021-10-14T05:05:54Z",
    "title_canon_sha256": "242f50813158cf91f3c616a47a91094a9b8a9337ca11a2d82f5173a7add075df"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2110.07155",
    "kind": "arxiv",
    "version": 2
  }
}