Pith Number

pith:CIW4I5N2

pith:2012:CIW4I5N2HU4DG5VADPKFM6B7LG

not attested not anchored not stored refs pending

GL-equivariant modules over polynomial rings in infinitely many variables

Andrew Snowden, Steven V Sam

arxiv:1206.2233 v3 · 2012-06-11 · 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{CIW4I5N2HU4DG5VADPKFM6B7LG}

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

A note on projective dimension over twisted commutative algebras

Receipt and verification

First computed	2026-05-18T01:25:16.529349Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

122dc475ba3d383376a01bd456783f5983b2e4421f96630c3fb491a3d38c2c12

Aliases

arxiv: 1206.2233 · arxiv_version: 1206.2233v3 · doi: 10.48550/arxiv.1206.2233 · pith_short_12: CIW4I5N2HU4D · pith_short_16: CIW4I5N2HU4DG5VA · pith_short_8: CIW4I5N2

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/CIW4I5N2HU4DG5VADPKFM6B7LG \
  | 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: 122dc475ba3d383376a01bd456783f5983b2e4421f96630c3fb491a3d38c2c12

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ebf9a5b8bf71a68e4db1d0e3c3f79a2252154248ef0bbeb7820abb970fbc3cc1",
    "cross_cats_sorted": [
      "math.CO",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2012-06-11T14:40:05Z",
    "title_canon_sha256": "35bd27cfb60ca2cea4e4b3db1d9904b5981b26aaaa85a03ce4988844dda5f5ff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.2233",
    "kind": "arxiv",
    "version": 3
  }
}