Pith Number

pith:M56BBQPN

pith:2024:M56BBQPN6BXTQWJLOERKPDYCJQ

not attested not anchored not stored refs pending

The geometry of quasisymmetric coinvariants

Hunter Spink, Philippe Nadeau, Vasu Tewari

arxiv:2410.12643 v2 · 2024-10-16 · math.AG · 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{M56BBQPN6BXTQWJLOERKPDYCJQ}

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

2 papers in Pith

A Littlewood-Richardson Rule for Forest Polynomials via the Schubert Bialgebra

The Quasisymmetric Grassmannian

Receipt and verification

First computed	2026-07-05T09:23:15.216482Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

677c10c1edf06f38592b7122a78f024c06b579687f6b66a44936e39e75463940

Aliases

arxiv: 2410.12643 · arxiv_version: 2410.12643v2 · doi: 10.48550/arxiv.2410.12643 · pith_short_12: M56BBQPN6BXT · pith_short_16: M56BBQPN6BXTQWJL · pith_short_8: M56BBQPN

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/M56BBQPN6BXTQWJLOERKPDYCJQ \
  | 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: 677c10c1edf06f38592b7122a78f024c06b579687f6b66a44936e39e75463940

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e296258a8e1ff9118ae8ab3846bcf2e76efe064fff2d3d4de56b575a73ba8d21",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2024-10-16T15:03:40Z",
    "title_canon_sha256": "d4484794f630c917b0efb89ec91e91eb53f4353b351b63e45bbc4d71b6581a70"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2410.12643",
    "kind": "arxiv",
    "version": 2
  }
}