Pith Number

pith:TANBBOYU

pith:2012:TANBBOYUCBLYHRABUBC72Z4QK7

not attested not anchored not stored refs pending

Kostka systems and exotic t-structures for reflection groups

Pramod N. Achar

arxiv:1209.1172 v2 · 2012-09-06 · 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{TANBBOYUCBLYHRABUBC72Z4QK7}

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	2026-05-18T03:27:54.621491Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

981a10bb14105783c401a045fd679057d878d19595e29a3ad91b4ff81aa2f9a2

Aliases

arxiv: 1209.1172 · arxiv_version: 1209.1172v2 · doi: 10.48550/arxiv.1209.1172 · pith_short_12: TANBBOYUCBLY · pith_short_16: TANBBOYUCBLYHRAB · pith_short_8: TANBBOYU

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/TANBBOYUCBLYHRABUBC72Z4QK7 \
  | 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: 981a10bb14105783c401a045fd679057d878d19595e29a3ad91b4ff81aa2f9a2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "30330dfaed1d9b228ae6620c382f54e43a758a5ee13d9f6882fc95c5d8536de5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2012-09-06T04:14:36Z",
    "title_canon_sha256": "31882b5eb3e714b98b5a45cd57c75b28e768afd48e8dcef0db588e4ef6865c03"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.1172",
    "kind": "arxiv",
    "version": 2
  }
}