Pith Number

pith:KAQB35XT

pith:2013:KAQB35XTD37NV5BP4I2AKAKQTO

not attested not anchored not stored refs pending

Some Koszul properties of standard and irreducible modules

Brian J. Parshall, Leonard L. Scott

arxiv:1305.6274 v1 · 2013-05-27 · 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{KAQB35XTD37NV5BP4I2AKAKQTO}

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	2026-05-18T03:24:51.704225Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

50201df6f31efedaf42fe2340501509b9462d761fb207ba0bcae2a2768f29c9f

Aliases

arxiv: 1305.6274 · arxiv_version: 1305.6274v1 · doi: 10.48550/arxiv.1305.6274 · pith_short_12: KAQB35XTD37N · pith_short_16: KAQB35XTD37NV5BP · pith_short_8: KAQB35XT

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/KAQB35XTD37NV5BP4I2AKAKQTO \
  | 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: 50201df6f31efedaf42fe2340501509b9462d761fb207ba0bcae2a2768f29c9f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "89508d0afd63c88b26592976b9b03d81a5ad48e71c5cb766aa9d7f77eee1b937",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2013-05-27T17:06:28Z",
    "title_canon_sha256": "89cc61f38a733b5d4551229c01858c7a9830031f9207834764baf88af2a22f95"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.6274",
    "kind": "arxiv",
    "version": 1
  }
}