Pith Number

pith:YQBENQKM

pith:2017:YQBENQKMPAX7UUIHMSYUZ2QIAJ

not attested not anchored not stored refs pending

Hilbert series for twisted commutative algebras

Andrew Snowden, Steven V Sam

arxiv:1705.10718 v2 · 2017-05-30 · math.AC · 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{YQBENQKMPAX7UUIHMSYUZ2QIAJ}

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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 note on projective dimension over twisted commutative algebras

Receipt and verification

First computed	2026-05-18T00:24:42.816850Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c40246c14c782ffa510764b14cea0802596fc911d4f0d35e73fd63a29cde1d8e

Aliases

arxiv: 1705.10718 · arxiv_version: 1705.10718v2 · doi: 10.48550/arxiv.1705.10718 · pith_short_12: YQBENQKMPAX7 · pith_short_16: YQBENQKMPAX7UUIH · pith_short_8: YQBENQKM

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/YQBENQKMPAX7UUIHMSYUZ2QIAJ \
  | 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: c40246c14c782ffa510764b14cea0802596fc911d4f0d35e73fd63a29cde1d8e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d0080a616346d87cb07bb4c83fd4f8e82b1f401c27acfd7d4560ed537bfe20b4",
    "cross_cats_sorted": [
      "math.CO",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2017-05-30T16:13:51Z",
    "title_canon_sha256": "cbaa3f7741bdd1aa3dcd9867a89a6b54825a258d3bfaccc6ef7065672818991d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.10718",
    "kind": "arxiv",
    "version": 2
  }
}