Pith Number

pith:YMS43XTH

pith:2023:YMS43XTHLH2VNQSXQKFBPHJYGO

not attested not anchored not stored refs pending

The enriched $q$-monomial basis of the quasisymmetric functions

Darij Grinberg, Ekaterina A. Vassilieva

arxiv:2309.01118 v4 · 2023-09-03 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YMS43XTHLH2VNQSXQKFBPHJYGO}

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

Top to random and reverse: analysis of a new descent algebra shuffle

Receipt and verification

First computed	2026-06-09T01:04:37.220445Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c325cdde6759f556c257828a179d3833a5fbb9e9a27f08bd8accd7f092da3b17

Aliases

arxiv: 2309.01118 · arxiv_version: 2309.01118v4 · doi: 10.48550/arxiv.2309.01118 · pith_short_12: YMS43XTHLH2V · pith_short_16: YMS43XTHLH2VNQSX · pith_short_8: YMS43XTH

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/YMS43XTHLH2VNQSXQKFBPHJYGO \
  | 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: c325cdde6759f556c257828a179d3833a5fbb9e9a27f08bd8accd7f092da3b17

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "30f507c240380b1733381e93ca060c2c10bb2a0ef336dc74e53c5d1c3fa59b78",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2023-09-03T08:35:21Z",
    "title_canon_sha256": "03f25044489877eb0fe1a316934af73637a799d6b3c04ce296b533d8ba29a559"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2309.01118",
    "kind": "arxiv",
    "version": 4
  }
}