Pith Number

pith:AD3G3HIW

pith:2012:AD3G3HIW5F35ZNK2YYES2CIS22

not attested not anchored not stored refs pending

On $p$-filtrations of Weyl modules

Brian Parshall, Leonard Scott

arxiv:1208.3221 v4 · 2012-08-15 · 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{AD3G3HIW5F35ZNK2YYES2CIS22}

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	2026-05-18T01:53:27.502652Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

00f66d9d16e977dcb55ac6092d0912d68aaed15b160b1b895e50976f23e3c928

Aliases

arxiv: 1208.3221 · arxiv_version: 1208.3221v4 · doi: 10.48550/arxiv.1208.3221 · pith_short_12: AD3G3HIW5F35 · pith_short_16: AD3G3HIW5F35ZNK2 · pith_short_8: AD3G3HIW

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/AD3G3HIW5F35ZNK2YYES2CIS22 \
  | 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: 00f66d9d16e977dcb55ac6092d0912d68aaed15b160b1b895e50976f23e3c928

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "15e8f394da87ecd052ad95a1bc7b29b9190c02b0210ad4928a4865b1ea9fedcc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2012-08-15T20:52:35Z",
    "title_canon_sha256": "bbab50e613dfeec10f7b12c846e0d0b7c9a6db9339f7e1769c0f79e27459741d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.3221",
    "kind": "arxiv",
    "version": 4
  }
}