Pith Number

pith:HG5GBZJT

pith:2010:HG5GBZJTQE66ZCAYDABKBPCWTC

not attested not anchored not stored refs pending

Eulerian quasisymmetric functions for the type B Coxeter group and other wreath product groups

Matthew Hyatt

arxiv:1007.0459 v3 · 2010-07-02 · 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{HG5GBZJTQE66ZCAYDABKBPCWTC}

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.

Receipt and verification

First computed	2026-05-18T03:56:24.392309Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

39ba60e533813dec88181802a0bc5698a40f8411f2e1f7b56767a9351e67954e

Aliases

arxiv: 1007.0459 · arxiv_version: 1007.0459v3 · doi: 10.48550/arxiv.1007.0459 · pith_short_12: HG5GBZJTQE66 · pith_short_16: HG5GBZJTQE66ZCAY · pith_short_8: HG5GBZJT

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/HG5GBZJTQE66ZCAYDABKBPCWTC \
  | 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: 39ba60e533813dec88181802a0bc5698a40f8411f2e1f7b56767a9351e67954e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4e7b70b69a4e55eb956ba033e733339daa15620bf5cbc85019c0e745611998ed",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2010-07-02T23:42:15Z",
    "title_canon_sha256": "c321136888e5c4e4df2616be9d8f2b8dcef02afec7b856ef5eb55b28e84f1e9b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1007.0459",
    "kind": "arxiv",
    "version": 3
  }
}