Pith Number

pith:QHXITH2D

pith:2021:QHXITH2DWHRSJTEF5TJ7QBF3W5

not attested not anchored not stored refs pending

Harmonic differential forms for pseudo-reflection groups II. Bi-degree bounds

Joshua P. Swanson, Nolan R. Wallach

arxiv:2109.03407 v1 · 2021-09-08 · math.CO · 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{QHXITH2DWHRSJTEF5TJ7QBF3W5}

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

The superspace coinvariant ring of type B

Receipt and verification

First computed	2026-07-05T03:12:30.747647Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

81ee899f43b1e324cc85ecd3f804bbb7408c74a487c44c3c6ffd1c7074e1811f

Aliases

arxiv: 2109.03407 · arxiv_version: 2109.03407v1 · doi: 10.48550/arxiv.2109.03407 · pith_short_12: QHXITH2DWHRS · pith_short_16: QHXITH2DWHRSJTEF · pith_short_8: QHXITH2D

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/QHXITH2DWHRSJTEF5TJ7QBF3W5 \
  | 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: 81ee899f43b1e324cc85ecd3f804bbb7408c74a487c44c3c6ffd1c7074e1811f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6f7eb9e4dae5ccba1ab38a5c405d3bf7d9057d41d4704aa3053d05f45e8f56bb",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2021-09-08T03:00:42Z",
    "title_canon_sha256": "8ad7af9497baeeaec9958cb8cabc3a188252394c5224bdc5ec9ea6d14dbcb72c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2109.03407",
    "kind": "arxiv",
    "version": 1
  }
}