Pith Number

pith:MU7DFUHT

pith:2018:MU7DFUHT47S4KOZF4FSQD43BRD

not attested not anchored not stored refs pending

A note on passing from a quasi-symmetric function expansion to a Schur function expansion of a symmetric function

Adriano Garsia, Jeffrey Remmel

arxiv:1802.09686 v1 · 2018-02-27 · 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{MU7DFUHT47S4KOZF4FSQD43BRD}

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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

A conjectural basis for the $(1,2)$-bosonic-fermionic coinvariant ring

Receipt and verification

First computed	2026-05-18T00:22:30.368501Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

653e32d0f3e7e5c53b25e16501f36188fda6dd7bba5dd4296117906842dc37f2

Aliases

arxiv: 1802.09686 · arxiv_version: 1802.09686v1 · doi: 10.48550/arxiv.1802.09686 · pith_short_12: MU7DFUHT47S4 · pith_short_16: MU7DFUHT47S4KOZF · pith_short_8: MU7DFUHT

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/MU7DFUHT47S4KOZF4FSQD43BRD \
  | 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: 653e32d0f3e7e5c53b25e16501f36188fda6dd7bba5dd4296117906842dc37f2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a4eb5d79b633f8dea754dcd9734d04af7ef14156c388d3e2b85b611ece281d34",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-02-27T02:13:48Z",
    "title_canon_sha256": "3b522cf826bf0c5f69003f5d151d8cdfa44ce897e6215fc4f7288452da8ea47a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.09686",
    "kind": "arxiv",
    "version": 1
  }
}