Pith Number

pith:D2YHF4ZX

pith:2010:D2YHF4ZXY6VL2IRVP7DOYXVSH4

not attested not anchored not stored refs pending

Brauer-Thrall for totally reflexive modules

David A. Jorgensen, Hamidreza Rahmati, Janet Striuli, Lars Winther Christensen, Roger Wiegand

arxiv:1008.1737 v2 · 2010-08-10 · math.AC · math.RA · 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{D2YHF4ZXY6VL2IRVP7DOYXVSH4}

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	2026-05-18T04:10:10.636764Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1eb072f337c7aabd22357fc6ec5eb23f022451cc15e64f6b98d765b1f014a894

Aliases

arxiv: 1008.1737 · arxiv_version: 1008.1737v2 · doi: 10.48550/arxiv.1008.1737 · pith_short_12: D2YHF4ZXY6VL · pith_short_16: D2YHF4ZXY6VL2IRV · pith_short_8: D2YHF4ZX

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/D2YHF4ZXY6VL2IRVP7DOYXVSH4 \
  | 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: 1eb072f337c7aabd22357fc6ec5eb23f022451cc15e64f6b98d765b1f014a894

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8ce3d928dabbff135dcb180752928628b2e12ff2aed910a3c0d3642ef1a0326c",
    "cross_cats_sorted": [
      "math.RA",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2010-08-10T15:25:22Z",
    "title_canon_sha256": "f5590c6deae37e3c1fefae27dede9dc389dbb22c4e2676fd0e45910f052cff87"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.1737",
    "kind": "arxiv",
    "version": 2
  }
}