Pith Number

pith:ME2RVC3C

pith:2010:ME2RVC3CODYPUEPMISP52VG3YB

not attested not anchored not stored refs pending

A Combinatorial Formula for Orthogonal Idempotents in the $0$-Hecke Algebra of the Symmetric Group

Tom Denton

arxiv:1008.2401 v1 · 2010-08-13 · math.RT · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ME2RVC3CODYPUEPMISP52VG3YB}

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	2026-05-18T04:42:13.389205Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

61351a8b6270f0fa11ec449fdd54dbc0650442e451c6db6e9864f6a8e0a8935a

Aliases

arxiv: 1008.2401 · arxiv_version: 1008.2401v1 · doi: 10.48550/arxiv.1008.2401 · pith_short_12: ME2RVC3CODYP · pith_short_16: ME2RVC3CODYPUEPM · pith_short_8: ME2RVC3C

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/ME2RVC3CODYPUEPMISP52VG3YB \
  | 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: 61351a8b6270f0fa11ec449fdd54dbc0650442e451c6db6e9864f6a8e0a8935a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3766541a843a92eb7865d0863d5873d191e988e13278b4f01cd21575ed39a22d",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2010-08-13T23:00:28Z",
    "title_canon_sha256": "d7a80e3620c9dd19c3b2e8b55a65d4c2b5b196279cb0142d7aa630daec817dd3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.2401",
    "kind": "arxiv",
    "version": 1
  }
}