Pith Number

pith:L5OM3PI5

pith:2010:L5OM3PI5F5SL6XSIWEOA7KAQIB

not attested not anchored not stored refs pending

A Reciprocity Result for Projective Indecomposable Modules of Cellular Algebras and BGG Algebras

C. Bowman, S. Martin

arxiv:1006.2655 v5 · 2010-06-14 · 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{L5OM3PI5F5SL6XSIWEOA7KAQIB}

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	2026-05-18T03:51:02.540082Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5f5ccdbd1d2f64bf5e48b11c0fa810405c915e360b093e0af1a5d8f4673f07e4

Aliases

arxiv: 1006.2655 · arxiv_version: 1006.2655v5 · doi: 10.48550/arxiv.1006.2655 · pith_short_12: L5OM3PI5F5SL · pith_short_16: L5OM3PI5F5SL6XSI · pith_short_8: L5OM3PI5

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/L5OM3PI5F5SL6XSIWEOA7KAQIB \
  | 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: 5f5ccdbd1d2f64bf5e48b11c0fa810405c915e360b093e0af1a5d8f4673f07e4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f49b1f44c737be700df196e3051625d9ed099bb818727a33fbfe18440b170000",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2010-06-14T10:06:06Z",
    "title_canon_sha256": "21fe212f15ee8efb6fa91c1749dd20e727d059f96674765fa50a706ba39fd2e0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1006.2655",
    "kind": "arxiv",
    "version": 5
  }
}