Pith Number

pith:OWPXYDCP

pith:2018:OWPXYDCPFKRHKIM3GCWSAJVG7X

not attested not anchored not stored refs pending

Universal factorial Schur $P,Q$-functions and their duals

Hiroshi Naruse, Masaki Nakagawa

arxiv:1812.03328 v1 · 2018-12-08 · math.AT · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OWPXYDCPFKRHKIM3GCWSAJVG7X}

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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

Neutral-Fermion constructions of factorial $gp$-and $gq$-Functions

Receipt and verification

First computed	2026-05-17T23:58:46.505195Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

759f7c0c4f2aa275219b30ad2026a6fdf6cb98dd9690a85708fb599b02d60339

Aliases

arxiv: 1812.03328 · arxiv_version: 1812.03328v1 · doi: 10.48550/arxiv.1812.03328 · pith_short_12: OWPXYDCPFKRH · pith_short_16: OWPXYDCPFKRHKIM3 · pith_short_8: OWPXYDCP

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/OWPXYDCPFKRHKIM3GCWSAJVG7X \
  | 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: 759f7c0c4f2aa275219b30ad2026a6fdf6cb98dd9690a85708fb599b02d60339

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "28885380465e59ed57949aa4e06c93cf2cd31e0916a76666ca0324dc50689c13",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2018-12-08T14:46:36Z",
    "title_canon_sha256": "4f3c96123419d232912d5e445635b83afaf7a0e76d3b136b351576c70c69757f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.03328",
    "kind": "arxiv",
    "version": 1
  }
}