Pith Number

pith:JTPXRQJ2

pith:2011:JTPXRQJ2VZL3L5BNCXUCZS2DHL

not attested not anchored not stored refs pending

Koszul duality and mixed Hodge modules

Pramod N. Achar, S. Kitchen

arxiv:1105.2181 v4 · 2011-05-11 · math.RT · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JTPXRQJ2VZL3L5BNCXUCZS2DHL}

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	2026-05-18T03:30:28.317454Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4cdf78c13aae57b5f42d15e82ccb433af1d4995ea4ec75472d84a5804cd27d7f

Aliases

arxiv: 1105.2181 · arxiv_version: 1105.2181v4 · doi: 10.48550/arxiv.1105.2181 · pith_short_12: JTPXRQJ2VZL3 · pith_short_16: JTPXRQJ2VZL3L5BN · pith_short_8: JTPXRQJ2

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/JTPXRQJ2VZL3L5BNCXUCZS2DHL \
  | 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: 4cdf78c13aae57b5f42d15e82ccb433af1d4995ea4ec75472d84a5804cd27d7f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5bfd8a4c7dffa6df685ae76f15fb09096e24e7259e3e2c84aa0e85e165f23731",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2011-05-11T13:21:52Z",
    "title_canon_sha256": "0534e37f5b816ff8b5bd3fe74bf9e71b2c3f40e56b0a97956bf5106caf98c1c9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.2181",
    "kind": "arxiv",
    "version": 4
  }
}