Pith Number

pith:K7VTG6J7

pith:2009:K7VTG6J7UEQSOYHKG42BILCQFR

not attested not anchored not stored refs pending

Factoring tilting modules for algebraic groups

S.R. Doty

arxiv:0909.2239 v1 · 2009-09-11 · math.RT · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{K7VTG6J7UEQSOYHKG42BILCQFR}

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	2026-07-04T15:49:23.779307Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

57eb33793fa1212760ea3734142c502c4cf3f5250caf45af693525922103d60d

Aliases

arxiv: 0909.2239 · arxiv_version: 0909.2239v1 · doi: 10.48550/arxiv.0909.2239 · pith_short_12: K7VTG6J7UEQS · pith_short_16: K7VTG6J7UEQSOYHK · pith_short_8: K7VTG6J7

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/K7VTG6J7UEQSOYHKG42BILCQFR \
  | 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: 57eb33793fa1212760ea3734142c502c4cf3f5250caf45af693525922103d60d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ab87a50fadbba5cdd78ee3deab562145b8f446044e589a76a47cbbe45b5f62fa",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2009-09-11T18:50:36Z",
    "title_canon_sha256": "a355ff52aa4ad5855c1f07bd85f4ef3d383c19565631d817663e3b44c1ed9cd2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0909.2239",
    "kind": "arxiv",
    "version": 1
  }
}